nonhomogeneous partial differential equation with homogeneous neumann boundary conditions

... [1-5] First-order abstract partial differential equations with impulses are treated in [6-9] The literature related to ordinary and partial functional differential equations with delay for which p(t, ... related to partial functional differential equations with state-dependent delay is limited, to our knowledge, to the recent works [21,22] The study of impulsive partial functional differential equations ... applications to partial differential equations, In Applied Mathematical Sciences, Volume 44, Springer-Verlag, New York, (1983) 24 Y Hino, S Murakami and T Naito, Functional differential equations with infinite...

Ngày tải lên: 29/10/2015, 14:19

... the Laplacian with nonlinear boundary conditions see [26–30], for elliptic systems with nonlinear boundary conditions see [31, 32], for the p-Laplacian with nonlinear boundary conditions of different ... type equations with Dirichlet boundary value problems have been studied by Dai and Hao [24], and much weaker conditions have been given by Fan [25] The elliptic problems with nonlinear boundary conditions ... the p(x)-Laplacian with nonlinear boundary conditions see [38–40] Motivated by above, we focus the case of nonlocal p(x)-Laplacian problems with nonlinear Neumann boundary conditions This is...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 12/06/2014, 16:17

... J J Nieto, “Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions, ” Boundary Value Problems, vol 2009, Article ID ... differential equation with integral boundary conditions, ” Boundary Value Problems, vol 2011, Article ID 720702, 20 pages, 2011 25 M Feng, D Ji, and W Ge, “Positive solutions for a class of boundary- value ... that boundary value problems 1.5 has at least one positive solution x with r ≤ x ≤ R The proof is complete Discussion In this section, we offer some interesting discussion associated with boundary...

Ngày tải lên: 21/06/2014, 05:20

... for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions, ” Boundary Value Problems, vol 2009, Article ID 708576, p 11, 2009 Boundary Value ... BVPs for nth-order impulsive differential equations with fixed moments Consider the following nth-order impulsive differential equations with integral boundary conditions: xn t −Δx n−1 |t x x ··· f ... “Impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian,” Nonlinear Analysis Theory, Methods & Applications, vol 70, no 9, pp 3119–3126, 2009 18 Boundary...

Ngày tải lên: 21/06/2014, 16:20

... integrodifferential equations with integral boundary conditions, ” Boundary Value Problems, vol 2009, Article ID 708576, 11 pages, 2009 12 Z Bai, “On positive solutions of a nonlocal fractional boundary ... positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and obtained some easily verifiable sufficient criteria The interesting ... associated with boundary value problem P Lemma 2.1 Assume that boundary value problem h t tα−1 dt / Then for any y ∈ C 0, , the unique solution of Dα x t x x y t 0, 0

Ngày tải lên: 21/06/2014, 16:20

... (1) = (such as BVP (1.1)) with b = It is a well-known fact that the boundary value problems with Sturm–Liouville boundary value conditions for integral order differential equations have important ... for fractional differential equations with multipoint boundary conditions Commun Nonlinear Sci Numer Simulat 17, 1142–1148 (2012) [19] Chai, G: Existence results for boundary value problems of ... nonlinear fractional differential equations with integral boundary conditions Comput Math Appl 63, 288–297 (2012) [23] Agarwa, RP, Ahmad, B: Existence theory for anti-periodic boundary value problems of...

Ngày tải lên: 21/06/2014, 17:20

... variational method To the best of our knowledge, there Boundary Value Problems is no paper concerned impulsive differential equation with Neumann boundary conditions via variational method In addition, ... differential equations with anti-periodic boundary conditions, ” Nonlinear Analysis: Theory, Methods & Applications, vol 69, no 10, pp 3291–3298, 2008 J Li, J J Nieto, and J Shen, “Impulsive periodic boundary ... equations with periodic boundary conditions, ” Nonlinear Analysis: Real World Applications In press 21 G Bonanno and G D’Agu`, “A Neumann boundary value problem for the Sturm-Liouville equation, ” ı Applied...

Ngày tải lên: 21/06/2014, 20:20

... Dirichlet boundary condition is satisfied Dirichlet boundary conditions are also called essential boundary conditions, and Neumann boundary conditions are also called natural boundary conditions ... The Partial Differential Equation (PDE) Toolbox provides a powerful and flexible environment for the study and solution of partial differential equations in two space dimensions and time The equations ... respectively Boundary Conditions These are specified by either a Boundary Condition matrix, or a Boundary M-file Boundary conditions are given as functions on boundary segments A Boundary Condition...

Ngày tải lên: 26/01/2014, 02:20

... positive constants Equation 1.3 is termed a first-order, linear, ordinary differential equation with variable coefficients These terms are explained below Term Explanation Differential equation Ordinary ... λI| = (1.10) Equation 1.10 is the characteristic equation for Equation 1.9 (note that it is a scalar equation) The values of λ that satisfy Equation 1.10 are the eigenvalues of Equation 1.9 For ... (1.26c) p With a little algebra, we can easily show that yi+1 of Equation 1.25 and yi+1 of Equation 1.26c are the same While Equation 1.25 and Equations 1.26c are mathematically equivalent, Equations...

Ngày tải lên: 08/04/2014, 10:27

... In the fifth paper, “The boundary value problem of the equations with nonnegative characteristic form,” L Li and M Tian have considered the generalized Keldys-Fichera boundary value problem for ... seventh paper, “Positive solutions for fourth-order singular p-Laplacian differential equations with integral boundary conditions, ” X Zhang and Y Cui have used the upper and lower solutions method to ... value problem for a class of higher-order equations with nonnegative characteristic, where the main tools used were the acute angle principle together with Holder and Young inequalities ¨ In the...

Ngày tải lên: 21/06/2014, 05:20

... (4) satisfying boundary conditions and initial conditions (2), (3) and (5), (6), respectively Lemma [21] (Poincaré integral inequality) Let Ω be a bounded domain of m with a smooth boundary ∂Ω of ... the stability, periodic oscillation, and synchronization of NNs with diffusion terms, which are expressed by partial differential equations For instance, the authors of [16] discuss the impulsive ... delayed reaction-diffusion NNs with the Dirichlet boundary conditions in terms of p-norm In [25], the synchronization scheme is discussed for a class of delayed NNs with reaction-diffusion terms...

Ngày tải lên: 21/06/2014, 17:20

... subsets of RN with nonempty interior, and g : ∂B → ∂A is a continuous surjective map Since g could be any map, in this paper we call 1.6 serieslike iterative equation with a general boundary restriction ... functional equations in a single variable, perspectives and open problems,” Aequationes Mathematicae, vol 61, no 1-2, pp 1–48, 2001 S Nabeya, “On the functional equation f p qx rf x a bx cf x ,” Aequationes ... functional equation, ” Aequationes Mathematicae, vol 72, no 3, pp 269–287, 2006 27 V Murugan and P V Subrahmanyam, “Erratum to: “Special solutions of a general iterative functional equation Aequationes...

Ngày tải lên: 22/06/2014, 11:20

... d e - phase equations E quations ( 12) and (13) have the same stru ctu re Analogously for equations (14) and (15), also for equations (16) and (17) So, it is sufficient to study equations (12), ... 0.02 J 71 NO NLIN EA R DIFFERENTIAL EQUATION For system (16) the response equation is L = 0, 29) 30)L = J ( h i - - h ^ ù + ^2A + ^ a o i ~ c2fl0 and the characteristic equation will be 2x2 A ... Ị3aị —cao7SÌn-0o = NONLINEAR DIFFERENTIAL EQUATION 69 Fig G raph of response curve (19) for u = I, e(3 = 0.1, e h \ = 0.001, e h = 0.02, EC = 0.02 'he response equation is readily found to be...

Ngày tải lên: 08/04/2015, 15:29

... Ladeira, A note on partial functional differential equations with state-dependent delay, Nonlinear Anal Real World Appl (4) (2006) 510–519 [25] A.V Rezounenko, Differential equations with discrete ... Nicholson’s blowflies equation (see e.g [34,35]) with state-dependent delays More precisely, we consider Eq (1) where −A is the Laplace operator with the Dirichlet boundary conditions, Ω ⊂ Rn0 ... Introduction to the Theory of Functional Differential Equations, Nauka, Moscow, 1991 [4] C.C Travis, G.F Webb, Existence and stability for partial functional differential equations, Trans Amer Math Soc...

Ngày tải lên: 29/10/2015, 14:19

... behavior of several nonlinear parabolic equations with nonlinear boundary conditions, (see also [16,17]) Under nonlinear dissipative feedbacks on the boundary, Nouria [18] proved a polynomial ... problems with nonlinear boundary conditions Nonlinear Anal 35, 269–286 (1999) doi:10.1016/S0362-546X(98)00034-0 15 Quintanilla, R: On the spatial blow-up and decay for some nonlinear boundary conditions ... Tahamtani and Peyravi: Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions Boundary Value Problems 2011 2011:19 Submit your manuscript to a journal...

Ngày tải lên: 21/06/2014, 00:20

... “Evolution equations with dynamic boundary conditions, ” Proceedings of the Royal Society of Edinburgh Section A, vol 113, no 1-2, pp 43–60, 1989 M Kirane, “Blow-up for some equations with semilinear ... systems with dynamic boundary conditions, ” Mathematische Zeitschrift, vol 210, no 3, pp 413–439, 1992 25 M Fila and P Quittner, “Global solutions of the Laplace equation with a nonlinear dynamical boundary ... quasilinear equations with dynamical boundary conditions of parabolic type,” Applied Mathematics and Computation, vol 191, no 1, pp 89–99, 2007 23 B Belinsky, “Eigenvalue problems for elliptic type partial...

Ngày tải lên: 21/06/2014, 11:20

... eigenvalues of the boundary value problem 1.4 and 1.5 are real, cm−1 and α β 1, he viewed the boundary and they may not be all distinct If c−1 conditions 1.4 as the periodic boundary conditions for ... periodic boundary value problem 3, Section In 2005, Wang and Shi considered 1.1 with the periodic and antiperiodic boundary conditions They found out the following results Advances in Difference Equations ... 1.1 with the following separated boundary conditions: y−1 0, k12 ΔyN−1 − k22 yN−1 0, 2.7 where k12 , k22 are entries of K It follows from 2.1 that the separated boundary value problem 1.1 with...

Ngày tải lên: 21/06/2014, 20:20

... 2 Boundary Value Problems mixed boundary conditions as we will consider in this paper Dobrushin boundary conditions are the two-component boundary conditions, which are defined ... N/2 1, , N/2, see 4.5 becomes minus boundary boundary conditions of BN i for i conditions instead of plus boundary conditions For this case of minus boundary condition, we can get similar ... free boundary conditions with a suitable “weak mixing” boundary condition Theorem 5.1 shows that, in the phase transition regime i.e., β > βc , for a certain class of “strong mixing” boundary conditions...

Ngày tải lên: 21/06/2014, 20:20

... setting is a homogeneous differential equation containing a parameter λ and accompanied by homogeneous boundary conditions Because both differential equations and boundary conditions are homogeneous, ... ix CHAPTER Ordinary Differential Equations 0.1 0.2 0.3 0.4 0.5 CHAPTER Homogeneous Linear Equations Nonhomogeneous Linear Equations 14 Boundary Value Problems 26 Singular Boundary Value Problems ... 13 26 Chapter Ordinary Differential Equations 0.3 Boundary Value Problems A boundary value problem in one dimension is an ordinary differential equation together with conditions involving values...

Ngày tải lên: 17/02/2014, 14:20