power series solutions to non homogeneous differential equations

Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx

Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx

Ngày tải lên : 20/06/2014, 20:20
... elementary matter to check that T is a completely continuous operator from C(I) into itself (one has to take Remark into account) Therefore, Schauder’s Theorem ensures that T has a nonempty and compact ... Title Suppressed Due to Excessive Length Claim 1: Problem (4) has a nonempty and compact set of solutions Consider the operator T : C(I) −→ C(I) which maps each γ ∈ C(I) to a continuous function ... existence of solutions to first-order ordinary differential equations with deviated arguments Delay differential equations are included in our general framework, which even allows deviations to depend...
  • 24
  • 361
  • 0
Báo cáo hóa học: " Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space" docx

Báo cáo hóa học: " Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space" docx

Ngày tải lên : 21/06/2014, 03:20
... automorphic solutions to some classes of partial evolution equations Appl Math Lett 2007, 20:462-466 Ding H-S, Long W, N’Guérékata GM: Almost automorphic solutions of nonautonomous evolution equations ... mild solutions for neutral differential equations Nonlinear Anal RWA 2010, 11:3037-3044 16 Bezandry P, Diagana T: Existence of almost periodic solutions to some stochastic differential equations ... solutions to some stochastic hyperbolic differential equations Electron J Differential Equations 2009, 111:1-14 19 Da Prato G, Tudor C: Periodic and almost periodic solutions for semilinear stochastic...
  • 12
  • 499
  • 0
Báo cáo hóa học: " Research Article The Existence of Periodic Solutions for Non-Autonomous Differential Delay Equations via Minimax Methods" potx

Báo cáo hóa học: " Research Article The Existence of Periodic Solutions for Non-Autonomous Differential Delay Equations via Minimax Methods" potx

Ngày tải lên : 21/06/2014, 20:20
... and Yorke in to reduce the search for periodic solutions of 1.2 with n and its similar ones to the problem of finding periodic solutions for a related system of ordinary differential equations Then ... method was applied to study the related systems and the existence of periodic solutions of the equations is obtained The previous papers concern mainly autonomous differential delay equations In this ... aim is to reduce the existence of periodic solutions of 2.12 to the existence of critical points of φ For this we introduce a shift operator Γ : H → H defined by Γx t x t π 2.22 It is easy to compute...
  • 15
  • 195
  • 0
Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions to Some Homogeneous Second-Order Evolution Equations of Monotone Type" potx

Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions to Some Homogeneous Second-Order Evolution Equations of Monotone Type" potx

Ngày tải lên : 22/06/2014, 18:20
... Morosanu, “Asymptotic behaviour of solutions of differential equations associated to mono¸ tone operators,” Nonlinear Analysis, vol 3, no 6, pp 873–883, 1979 [4] E Mitidieri, “Asymptotic behaviour ... asymptotic behavior of solutions to (1.1) Main results In this section, we study the asymptotic behavior of solutions to the evolution equation (1.1) under appropriate assumptions on the operator ... convergence of u by assuming A to be strongly monotone Theorem 2.6 Assume that the operator A is strongly monotone, and let u be a solution to (1.1) Then u(t) converges strongly to p ∈ A−1 (0) as t →...
  • 8
  • 222
  • 0
Báo cáo hóa học: " Research Article New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order" docx

Báo cáo hóa học: " Research Article New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order" docx

Ngày tải lên : 22/06/2014, 02:20
... N Parhi, “Nonoscillatory behaviour of solutions of nonhomogeneous third order differential equations, ” Applicable Analysis, vol 12, no 4, pp 273–285, 1981 N Parhi, “Nonoscillation of solutions ... involved for all bounded solutions of the above equation to be nonoscillatory Recently, in 2007, Tunc 23 investigated nonoscillation of solutions of the third-order ¸ differential equations: r t y t ... third order,” ¸ Nonlinear Dynamics and Systems Theory, vol 7, no 4, pp 419–430, 2007 24 C Tunc, “On the nonoscillation of solutions of nonhomogeneous third order differential equations, ” ¸ Soochow...
  • 11
  • 295
  • 0
Báo cáo hóa học: " Research Article Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure" docx

Báo cáo hóa học: " Research Article Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure" docx

Ngày tải lên : 22/06/2014, 02:20
... pressure of weak solutions of Navier-Stokes equations, ” Archiv der Mathematik, vol 46, no 5, pp 428–439, 1986 L Iskauriaza, G A Ser¨ gin, and V Shverak, “L3,∞ -solutions of Navier-Stokes equations and ... 3, pp 222–240, 1972 Y Giga, Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system,” Journal of Differential Equations, vol 62, no 2, pp ... Navier-Stokes equations in Rn ,” Chinese Annals of a Mathematics Series B, vol 16, no 4, pp 407–412, 1995 10 D Chae and J Lee, “Regularity criterion in terms of pressure for the Navier-Stokes equations, ”...
  • 6
  • 435
  • 0
Báo cáo hóa học: " Research Article Boundary Blow-Up Solutions to p x -Laplacian Equations with Exponential Nonlinearities Qihu Zhang" potx

Báo cáo hóa học: " Research Article Boundary Blow-Up Solutions to p x -Laplacian Equations with Exponential Nonlinearities Qihu Zhang" potx

Ngày tải lên : 22/06/2014, 06:20
... “The asymptotic behavior of solutions for p x -Laplace equations, ” Journal of Zhengzhou University of Light Industry, vol 24, no 5, pp 92–95, 2007 14 Q Zhang, “Oscillatory property of solutions ... -Laplacian equations, ” Journal of Inequalities and Applications, vol 2007, Article ID 58548, pages, 2007 15 Q Zhang, “Existence and asymptotic behavior of positive solutions to p x -Laplacian equations ... large solutions to semilinear elliptic equations, ” Journal of Mathematical Analysis and Applications, vol 240, no 1, pp 205–218, 1999 18 A Mohammed, “Existence and asymptotic behavior of blow-up solutions...
  • 8
  • 196
  • 0
Báo cáo hóa học: " Research Article Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities" doc

Báo cáo hóa học: " Research Article Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities" doc

Ngày tải lên : 22/06/2014, 18:20
... Inequalities and Applications are rare Our aim is to give the existence of positive solutions for problem (P), and give the asymptotic behavior of positive solutions near boundary Throughout the paper, ... According to comparison principle, it is easy to see that (P) possesses only one positive solution, and uλ is increasing with respect to λ 6 Journal of Inequalities and Applications Asymptotic behavior ... existence of solutions of elliptic equations with p, q-growth conditions,” Journal of Differential Equations, vol 90, no 1, pp 1–30, 1991 [10] Q Zhang, “A strong maximum principle for differential equations...
  • 9
  • 213
  • 0
Báo cáo hóa học: " Research Article Boundary Blow-Up Solutions to p x -Laplacian Equations with Exponential Nonlinearities Qihu Zhang" pptx

Báo cáo hóa học: " Research Article Boundary Blow-Up Solutions to p x -Laplacian Equations with Exponential Nonlinearities Qihu Zhang" pptx

Ngày tải lên : 22/06/2014, 18:20
... “The asymptotic behavior of solutions for p x -Laplace equations, ” Journal of Zhengzhou University of Light Industry, vol 24, no 5, pp 92–95, 2007 14 Q Zhang, “Oscillatory property of solutions ... -Laplacian equations, ” Journal of Inequalities and Applications, vol 2007, Article ID 58548, pages, 2007 15 Q Zhang, “Existence and asymptotic behavior of positive solutions to p x -Laplacian equations ... large solutions to semilinear elliptic equations, ” Journal of Mathematical Analysis and Applications, vol 240, no 1, pp 205–218, 1999 18 A Mohammed, “Existence and asymptotic behavior of blow-up solutions...
  • 8
  • 184
  • 0
Báo cáo hóa học: " Research Article Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains Sungwon Cho and Mikhail Safonov" pot

Báo cáo hóa học: " Research Article Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains Sungwon Cho and Mikhail Safonov" pot

Ngày tải lên : 22/06/2014, 22:20
... Ω := {x ∈ Rn : < |x| < 1}, n ≥ 2, with some operators L in the nondivergence form (ND) For such operators, the boundary regularity of solutions to problem (DP) is usually investigated by the standard ... estimate together with Lemmas 2.4 and 2.5 imply the global H¨ lder regularity of o solutions to problem (DP), which is contained in Theorem 3.10 Lemma 3.1 Let ω(ρ) be a nonnegative, nondecreasing ... both divergence and nondivergence equations However, the natural functional spaces for solutions in these two cases are different We use the same notation W(Ω) for classes of solutions, which are...
  • 24
  • 212
  • 0
Báo cáo nghiên cứu khoa học: " EXISTENCE OF SOLUTIONS OF SET CONTROL DIFFERENTIAL EQUATIONS" doc

Báo cáo nghiên cứu khoa học: " EXISTENCE OF SOLUTIONS OF SET CONTROL DIFFERENTIAL EQUATIONS" doc

Ngày tải lên : 22/07/2014, 06:20
... differentiability and applications to set differential equations, J Nonlinear Analysis Vol 61, pp 559- 575, (2005) [4] Lakshmikantham V; Set differential equations versus fuzzy differential equations, J Applied ... [15] Phu N D., Tung T.T, Existence of Solutions of Fuzzy Control Differential Equations, J Science and Technology Development (In Press) [16] Tolstonogov A; Differential Inclusions in Banach Space, ... control differential equation and studied its existence of solutions A comparison of two solutions was considered Some more results on existence and comparison of solutions of set control differential...
  • 10
  • 425
  • 0
ON BOUNDARY HOLDER GRADIENT ESTIMATES FOR SOLUTIONS TO ¨ THE LINEARIZED MONGEAMPERE EQUATIONS

ON BOUNDARY HOLDER GRADIENT ESTIMATES FOR SOLUTIONS TO ¨ THE LINEARIZED MONGEAMPERE EQUATIONS

Ngày tải lên : 16/10/2015, 09:28
... estimates for solutions to the linearized Monge-Amp`ere equations, Adv Math 228 (2011), 2034-2070 [4] Le, N Q.; Nguyen, T Global W 2,p estimates for solutions to the linearized Monge–Amp`ere equations, ... Interior a priori estimates for solutions of fully nonlinear equations, Ann of Math.(2) 130 (1989), 189-213 [2] Caffarelli, L A., and Cabr´e, X Fully nonlinear elliptic equations American Mathematical ... Monge-Amp`ere equations If we assume ϕ to be more regular, say ϕ ∈ W 2,q (Ω) where q > p, then Theorem 1.3 is a consequence of the global W 2,p estimates for solutions to the linearized Monge-Amp`ere equations...
  • 13
  • 275
  • 0
báo cáo hóa học:" Research Article Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales" pptx

báo cáo hóa học:" Research Article Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales" pptx

Ngày tải lên : 21/06/2014, 20:20
... time scale T is a nonempty closed subset of the real numbers R T has the topology that it inherits from the real numbers with the standard topology It follows that the jump operators σ, ρ : T → ... Peterson, Dynamic Equations on Time Scales: An Introduction with Application, Birkh¨ user, Boston, Mass, USA, 2001 a R P Agarwal, M Bohner, and P Reh´ k, “Half-linear dynamic equations, ” in Nonlinear ... Vivero, “Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations, ” Advances in Difference Equations, vol 2008, Article...
  • 19
  • 309
  • 0
Construction of the solutions of non-linear high order differential equations

Construction of the solutions of non-linear high order differential equations

Ngày tải lên : 08/04/2015, 15:36
... G (a, v ) e ~ i( ,'’>l+ - + ,,? l)d p d
  • 11
  • 239
  • 0
Tài liệu AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ppt

Tài liệu AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ppt

Ngày tải lên : 16/02/2014, 15:20
... blank AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, ... while u + u = is a nonlinear equation The nonlinear equations are often further x y classified into subclasses according to the type of the nonlinearity Generally speaking, the nonlinearity is more ... General nonlinear equations 2.10 Exercises Second-order linear equations in two indenpendent variables 3.1 Introduction 3.2 Classification 3.3 Canonical form of hyperbolic equations 3.4 Canonical...
  • 385
  • 508
  • 2
Plug-In PHP: 100 Power Solutions: Simple Solutions to Practical PHP Problems pot

Plug-In PHP: 100 Power Solutions: Simple Solutions to Practical PHP Problems pot

Ngày tải lên : 16/03/2014, 23:20
... www.it-ebooks.info Plug-in PHP: 100 Power Solutions Having told the installer you need a custom installation, you must now set an option to ensure that MySQL gets installed as well To this, scroll down through ... choose where to install the program (by default it will be C:\Program Files\Zend) If you choose to change this, then you will also need to remember to use the appropriate directory to access this ... download all of the plug-ins to your computer from where you can pick the one(s) to upload to your own web site To help you with accessing them, the plug-ins are all stored in groups of ten per...
  • 383
  • 1.3K
  • 0
Singularities of solutions to equations of mathematical physics   mazija, kozlov

Singularities of solutions to equations of mathematical physics mazija, kozlov

Ngày tải lên : 17/03/2014, 14:33
... Structure of the book According to what has been said, we divide the book into two parts, the first being devoted to the power- logarithmic singularities of solutions to classical boundary value problems ... , ϕ1 , , ϕs−1 is said to be a Jordan chain of A corresponding to the eigenvalue λ0 The vectors ϕ1 , , ϕs−1 are said to be generalized eigenvectors corresponding to ϕ0 The maximal length ... the present book we study singularities of solutions to classical problems of mathematical physics as well as to general elliptic equations and systems Solutions of many problems of elasticity,...
  • 442
  • 399
  • 0
introduction to partial differential equations - a computational approach - a. tveito, r. winther

introduction to partial differential equations - a computational approach - a. tveito, r. winther

Ngày tải lên : 31/03/2014, 15:56
... Differential Equation? Some equations are referred to as nonhomogeneous They include terms that not depend on the unknown u Typically, (c), (d), and (e) are nonhomogeneous equations Furthermore, u ... related to separation of variables and convergence of Fourier series are discussed The purpose of Chapter 11 is to introduce nonlinear partial differential equations In particular, we want to illustrate ... equations, and homogeneous and nonhomogeneous equations All these terms can be used to characterize an equation simply by its appearance In this section we will discuss some properties related to the...
  • 402
  • 419
  • 0
introduction to stochastic differential equations v1.2 (berkeley lecture notes) - l. evans

introduction to stochastic differential equations v1.2 (berkeley lecture notes) - l. evans

Ngày tải lên : 31/03/2014, 15:56
... differential equations, and perhaps partial differential equations as well This is all too much to expect of undergrads But white noise, Brownian motion and the random calculus are wonderful topics, too ... trajectories of systems modeled by (ODE) not in fact behave as predicted: X(t) x0 Sample path of the stochastic differential equation Hence it seems reasonable to modify (ODE), somehow to include ... x(0) = x0 , where b : Rn → Rn is a given, smooth vector field and the solution is the trajectory x(·) : [0, ∞) → Rn x(t) x0 Trajectory of the differential equation ˙ Notation x(t) is the state...
  • 139
  • 429
  • 0