existence results for an impulsive abstract partial differential equation with state dependent delay

... turn the first page: What does this toolbox do? Can I use it? What problems can I solve?, etc What Does this Toolbox Do? The Partial Differential Equation (PDE) Toolbox provides a powerful and flexible ... study and solution of partial differential equations in two space dimensions and time The equations are discretized by the Finite Element Method (FEM) The objectives of the...

Ngày tải lên: 26/01/2014, 02:20

... intentionally left blank AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students ... invented by Hamilton led to major advances in optics and in analytical mechanics The Fourier method enabled the solution of heat transfer and wave Introduction pro...

Ngày tải lên: 16/02/2014, 15:20

... Ordinary and partial differential equation routines in C, C++, Fortran, Java, Maple, and MATLAB / H.J Lee and W.E Schiesser p cm Includes bibliographical references and index ISBN 1-5 848 8-4 2 3-1 ... Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java®, Maple®, and MATLAB H.J Lee and W.E Schiesser CHAPMAN &...

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Ngày tải lên: 12/06/2014, 16:17

... manuscript No (will be inserted by the editor) Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments Rub´n Figueroa∗ and Rodrigo L´pez Pouso e o Department ... may have minimal (maximal) solutions between given lower and upper solutions and not have the least (greatest) solution This seems to be a peculiar fea...

Ngày tải lên: 20/06/2014, 20:20

... in Mathematics, vol 65,American Mathematical Soceity, Providence (1986) doi:10.1186/1687-2770-2011-32 Cite this article as: Yang and Zhang: Existence results for a class of nonlocal problems involving ... P-Kirchhoff problem began to attract the attention of several researchers mainly after the work of Lions [1], where a functional analysis approach was proposed to att...

Ngày tải lên: 20/06/2014, 22:20

... theorem, we have investigated the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and obtained ... higherorder nonlinear fractional differential equations,” Abstract and Applied Analysis, vol 2009, Article ID 494720, pages, 2009 11 B Ahmad and J J Nieto, Existence r...

Ngày tải lên: 21/06/2014, 16:20

... methods is more recent but has also attracted many researchers 4, 6, 23–28 In 27 , for the first time in this topic, Torres proved an existence result which is valid for a weak singularity whereas ... cones for completely continuous operators 25, 32–34 , and Schauder’s fixed point theorem 27, 35, 36 are the most relevant tools In this paper, we select several recent existence res...

Ngày tải lên: 21/06/2014, 20:20

... Anderson, “Oscillation and nonoscillation criteria for two-dimensional time- scale systems of first-order nonlinear dynamic equations,” Electronic Journal of Differential Equations, vol 2009, no 24, Article ... boundary- value problem on a time scale,” Electronic Journal of Differential Equations, no 82, pp 1–11, 2003 F M Atici and G Sh Guseinov, On Green’s functions and positive so...

Ngày tải lên: 21/06/2014, 20:20

... Bergh and J L¨ fstr¨ m, Interpolation Spaces An Introduction, Springer, Berlin, 1976 o o [2] T Cazenave, Semilinear Schr¨dinger Equations, Courant Lecture Notes in Mathematics, vol 10, o American ... Harmonic Analysis and Application to Differential Equations, 2nd ed., Science Press, Beijing, 2004 [5] T Runst and W Sickel, Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinea...

Ngày tải lên: 22/06/2014, 22:20

... −x|≤1/m (3.10) Integral equations with discontinuous right-hand side satisfies properties (a), (b), (c), (d) of Theorem 2.4 In particular one has H(t,x) = {ψ(t,x)} for a.a t ∈ I and all x ∈ R \ ... α(t)χR\Q t f τ,u(τ) dt for a.a t ∈ [0,1] (3.18) References [1] R P Agarwal, M Meehan, and D O’Regan, Nonlinear Integral Equations and Inclusions, NOVA, New York, 2001 [2] G Anello an...

Ngày tải lên: 22/06/2014, 22:20

... 2 Nonlocal and nonsmooth hemivariational inequalities While elliptic hemivariational inequalities in the form (1.1) with Ᏺu replaced by a given ∗ element f ∈ V0 have been treated recently, for ... the results of Section form the main tools in the proof of Theorem 2.1 We will assume throughout the rest of the paper that the hypotheses of Theorem 2.1 are satisfied Nonlocal and...

Ngày tải lên: 22/06/2014, 22:20

... Pouso, Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions, Nonlinear Analysis Theory, Methods & Applications 42 (2000), no ... existence results for second¸ order nonlinear dynamic BVPs, Nonlinear Analysis 60 (2005), no 2, 209–220 [2] M Bohner and A Peterson, Dynamic Equations on Time Scales An Introduction wit...

Ngày tải lên: 22/06/2014, 22:20

... h(u) = f (u) − c of the form h(u) u has been studied for the case when p = in [6] For p = this remains a challenging semipositone problem for existence of positive solutions for large λ We next ... > for < u < r and f (u) ≤ for u ≥ r for some r > When c = it is easy to establish the existence of a positive solution for large λ > Here we consider the challenging semipo...

Ngày tải lên: 22/06/2014, 22:20

... dense in C([0,1], R) with the sup-norm See [5] for more examples and remarks concerning nondensely defined operators Recently, evolution functional differential equations with nondensely defined linear ... ϕq (s)ds (3.19) Perturbed functional differential equations and now since S (t) is a compact operator for t > 0, the set Yε (t) = {Fε (y)(t) : y ∈ Bq } is relatively compa...

Ngày tải lên: 22/06/2014, 22:20