linear partial differential equations with constant coefficients

... Nguyen Huu Du, Vu Hoang Linh, Stability radii for linear time-invarying differential- equations with respect to dynamic perturbations, J Differential Equations, 230 (2006) 579 [9] N.T Ha, B Rejanadit, ... (1—a)A] < 0}, where we use the convention In0 = —oo 5 Stability radius of linear dynamic equations with constant coefficients on time scales Assume that the nominal equation a® = Aa (10) is ... stability of time-varying linear systems, J Differential Equations, 82 (1989) 219 [5] B Jacob, A formula for the stability radius of time-varying systems, J Differential Equations, 142 (1998) 167

Ngày tải lên: 22/03/2014, 11:20

... 2000 (1999)379 t7l N H Du, Stability radii for differential- algebraic equations, Vietnam J Math.,2'l with respect to dynamic differential- equations linear time-invarying radii for Linh, Stability ... convention lnO : "(It}+tnl1+'\l)(n-m) s{2m*1and 2n{t ( 2n*1 -oo Stability radius of linear dynamic equations with constant coefficients on time scales Assume that the nominal equation rL:Ar is uniformly ... Joumal of Science, Mathematics - Physics 26 (2010) 163-173 Stability Radius of Linear Dynamic Equations with Constant Coefficients on Time Scales , TDepartment Le Hong Lanl'*, Nguyen Chi LierrP

Ngày tải lên: 14/12/2017, 14:52

... hyperbolic partial differential equations with local conditions making use of the Banach fixed point theorem Some examples are presented to illustrate our results Keywords: Hyperbolic differential equations, ... especially partial differential equations When databases that are transformed from real life into mathematical models are incomplete or vague, we often use fuzzy partial differential equations ... fuzzy partial differential equations by using crisp solution and the extension principle Some other efforts have been recently made to find the numerical solutions for fuzzy partial differential equations

Ngày tải lên: 25/11/2020, 23:24

... differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, vol 41, no 7-8, pp 871–890, 2000 ... second-order differential equations with ... neutral delay- differential equations with piecewise. .. periodic solution of second order scalar functional differential equations with piecewise constant argument,” Journal ... order scalar functional differential equations with piecewise constant argument”,” Journal of Mathematical... piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications,

Ngày tải lên: 21/06/2014, 20:20

... pages doi:10.1155/2007/49125 Research Article Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay Hassane Bouzahir Received November 2006; Revised 16 ... [9] W M Ruess, “Linearized stability for nonlinear evolution equations, ” Journal of Evolution Equations, vol 3, no 2, pp 361–373, 2003 [10] W M Ruess, “Existence of solutions to partial functional ... solutions to partial functional-differential equations with delay,” Advances in Differential Equations, vol 4, no 6, pp 843–876, 1999 Hassane Bouzahir 13 [12] W M Ruess, “Existence of solutions to partial

Ngày tải lên: 22/06/2014, 22:20

... of periodic solutions to differential equation with piecewise constant argument 1 Introduction In this note, we are concernded with differential equations with piecewise constant argument of the ... Seifert, Almost solutions of certaint Differential Equations with piecewise constant delays and almost periodic time dependence, Journal of Differential Equations 164, (2001), 451-458 | J H Shen ... introduced by Massera in 1950 to ordinary differential equations, saying that the linear differential equation of the form b= Alt)e(t) + f(t), Trang 2 [1], to OFDE with advance and delay in [5, 11,

Ngày tải lên: 11/03/2015, 07:57

... abstract retarded functional differential equations with unbounded delay, Nonlinear... linearized stability for partial functional differential equations, Dynam Systems Appl 7 ... equations with infinite delay, J Nonlinear Anal., in press 3 M Adimy and K Ezzinbi, Local existence and... Henriquez, Periodic solutions of quasi -linear partial functional differential ... April 17, 2000 This paper deals with the existence of periodic solutions for some partial functional differential equations with infinite delay We suppose that the linear part is nondensely defined

Ngày tải lên: 29/10/2015, 14:19

... differential equations with deviating arguments Nonlinear Dyn Syst Theory 13(3), 242–257 (2013) Henriquez, H.R.: Periodic solutions of quasi -linear partial functional differential equations with ... on the non-autonomous partial neutral differential equations with finite delay, we denote by (X , ) the Banach space X endowed with the norm and L(X , Z ) the space of linear operators from ... neutral functional partial differential equations with finite delay We assume the linear nonautonomous part generates C0 semigroup for each fixed positive parameter The nonlinear term is assumed

Ngày tải lên: 10/03/2021, 15:55

... HARMONIC ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS BJ RN E J DAHLBERG CARLOS E KENIG ISSN 0347-2809 DEPARTMENT OF MATHEMATICS ... Chapter Introduction In this course we will study boundary value problems (BVP:s) for linear elliptic PDE:s with constant coe cients in Lipschitz-domains , i.e., domains where the boundary @ locally ... of the Dirichlet problem with data f , given in Theorem 3.3, then and u is the L1 kM (ru)kL1( ) C where C depends only on the Lipschitz constant of By adding a suitable constant to f , we may

Ngày tải lên: 31/03/2014, 15:16

... Semigroups Parabolic Equations V Implicit Evolution Equations Introduction Regular Equations Pseudoparabolic Equations Degenerate Equations Examples ... 212 BIBLIOGRAPHY 43] F Treves, Basic Linear Partial Di erential Equations, Academic Press, 1975 44] A.N Tychonov and A.A Samarski, Partial Di erential Equations of Mathematical Physics, Holden-Day, ... Approximation of Evolution Equations Introduction Regular Equations Sobolev Equations Degenerate Equations Examples

Ngày tải lên: 31/03/2014, 15:56

... Walther, HO, Wu, J: Functional differential equations with state-dependent delays: theory and applications Handbook of Differential Equations: Ordinary Differential Equations, vol III Elsevier/North-Holland, ... results on 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 ... the least (greatest) solution This seems to be a peculiar feature of equations with deviated arguments, see [1] for an example with a second-order equation Therefore, we are obliged to distinguish

Ngày tải lên: 20/06/2014, 20:20

... together with Sakthivel and Luo [11,12] investigate the asymptotic stability of the nonlinear impulsive stochastic differential equations and the impulsive stochastic partial differential equations with ... stochastic partial differential equations with delays by the fixed point method Zhou and Zhong [15] study the exponential p-stability of neutral stochastic differential equations with multiple ... Difference Equations 2011, 2011:48 http://www.advancesindifferenceequations.com/content/2011/1/48 RESEARCH Open Access New criteria for stability of neutral differential equations with variable

Ngày tải lên: 20/06/2014, 22:20

... Difference Equations 2011, 2011:2 http://www.advancesindifferenceequations.com/content/2011/1/2 RESEARCH Open Access Positive solutions of the three-point boundary value problem for fractional-order differential ... least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument C Dα u(t) + a(t)f (u(θ (t))) = 0, < t < 1, u(0) ... al Advances in Difference Equations 2011, 2011:2 http://www.advancesindifferenceequations.com/content/2011/1/2 Page of 11 Examples Example 4.1 Consider the fractional differential equation C Dα

Ngày tải lên: 21/06/2014, 03:20

... ordinary differential equations with sublinear impulsive effects,” Journal of Mathematical Analysis and Applications, vol 303, no 1, pp 288–303, 2005 L Chen and J Sun, “Nonlinear boundary value ... 16 pages doi:10.1155/2010/325415 Research Article Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions Huiwen Chen and Jianli Li Department of Mathematics, ... differential equations, ” Journal of Mathematical Analysis and Applications, vol 318, no 2, pp 726–741, 2006 10 J J Nieto and D O’Regan, “Variational approach to impulsive differential equations, ” Nonlinear

Ngày tải lên: 21/06/2014, 11:20

... doi:10.1155/2010/862079 Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions Xingqiu Zhang1, and Yujun Cui3 Department of Mathematics, ... 0, positive solutions for fourth-order singular p-Laplacian differential equations with integral boundary conditions Our nonlinearity f may be singular at t 0, t 1, and u The dual results for the ... consider the existence of positive solutions for the following nonlinear fourth-order singular p-Laplacian differential equations with integral boundary conditions: ϕp x t x f t, x t , x t , g s

Ngày tải lên: 21/06/2014, 11:20

... Difference Equations Volume 2010, Article ID 691721, 10 pages doi:10.1155/2010/691721 Research Article Existence of Solutions for Nonlinear Fractional Integro -Differential Equations with Three-Point ... on fractional differential equations, see 5–11 and the references therein. In this paper, we study the following nonlinear fractional integro-differential equations with three-point nonlocal ... cited. We prove the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, 2 with three-point nonlocal fractional boundary conditions by applying

Ngày tải lên: 21/06/2014, 16:20

... doi:10.1155/2011/654871 Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian Meiqiang Feng School ... integral equations and their relation with boundary- value problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23. On the other hand, boundary-value problems with integral ... Differential Equations, vol 14, World Scientific, ı Singapore, 1995 6 J Yan, “Existence of positive periodic solutions of impulsive functional differential equations with two parameters,”

Ngày tải lên: 21/06/2014, 16:20

... made available soon Extremal solutions for certain type of fractional differential equations with maxima Advances in Difference Equations 2012, 2012:7 doi:10.1186/1687-1847-2012-7 Rabha W Ibrahim ... differential equations with maxima Comput Math Appl 60(10), (2010) 2771–2778 11 Mishev, DP, Musa, SM: Distribution of the zeros of the solutions of hyperbolic differential equations with maxima ... the existence of univalent solutions for fractional integral equations with maxima in complex domain, by using technique associated with measures of non-compactness In this article, we establish

Ngày tải lên: 21/06/2014, 17:20

... Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces Nonlinear Anal TMA 70, 2593–2601 (2009)... Lp theory for semilinear nonlocal problems with measure ... with nonlocal initial conditions in Banach spaces Nonlinear Diff Equ Appl 14, 361–376 (2007) [23] Zhu, LP, Li, G: On a nonlocal problem for semilinear differential equations with ... with upper semicontinuous nonlinearities in general Banach spaces J Math Anal Appl 341, 660– 675 (2008) [24] Zhu, LP, Li, G: Existence results of semilinear differential equations with

Ngày tải lên: 21/06/2014, 17:20

... deal with the stability for deterministic differential equations, not for stochastic differential equations. Very recently, Luo 6 studied the mean square asymptotic stability for a class of linear ... delays,” Nonlinear Analysis, vol 63, no 5–7, pp e233–e242, 2005 8 V B Kolmanovskii and L E Shaikhet, “Matrix Riccati equations and stability of stochastic linear systems with nonincreasing ... doi:10.1155/2008/407352 Research Article Fixed Points and Stability in Neutral Stochastic Differential Equations with Variable Delays Meng Wu, 1 Nan-jing Huang, 1 and Chang-Wen Zhao 2 1 Department

Ngày tải lên: 21/06/2014, 23:20