Analytic solutions of functional equations cheng li

... discussed. Applica- tion of the implicit theorems for finding power series solutions of polynomial or rational type functional equations are illustrated. • In Chapter 5 analytic solutions for ... differential equations is treated as an application. Then several selected functional differential equations are discussed and their analytic solutions found. • In Chapter 6 ana...

Ngày tải lên: 04/08/2014, 22:25

... Positive solutions for nonlinear difference equations, Nonlinear Studies 4 (1997), no. 1, 29–36. [5] Y. Liu and W. Ge, Twin positive solutions of boundary value problems for finite difference equations with ... 2 Positive solutions of difference equations Recently, the existence of positive solutions of finite difference equations with different boundary value conditions ... C...

Ngày tải lên: 22/06/2014, 22:20

... periodic solutions of nonlinear functional difference equations with finite de- lay via uniform stability properties of a bounded solution. This motivates us to investigate almost periodic solutions of ... 3, we discuss the existence of periodic solutions of (1.1). In Section 4, we discuss the existence of almost periodic solutions of (1.1). 2. Preliminaries We formali...

Ngày tải lên: 22/06/2014, 22:20

... space. The geometric multiplicity of l is the dimension of its eigenspace while its algebraic multiplicity (or multiplicity for short) is its multiplicity as a zero of the characteristic polynomial. Moreover, ... S: Uber Sturm-Liouvillesche Polynomsysteme. Math Z. 29, 730–736 (1929). doi:10.1007/BF01180560 3. Brenke, WC: On polynomial solutions of a class of linear differential e...

Ngày tải lên: 20/06/2014, 22:20

... x)] T . (37) Kamont Journal of Inequalities and Applications 2011, 2011:15 http://www.journalofinequalitiesandapplications.com/content/2011/1/15 Page 12 of 20 RESEARC H Open Access Weak solutions of functional ... applications in the theory of first-order partial differential equations, including questions such as estimates of solutions of initial problems, estimates of...

Ngày tải lên: 21/06/2014, 02:20

... existence of almost automorphic solutions of first-order linear difference equations. In Section 4, we discuss the existence of almost automorphic solutions of nonlinear difference equations of the ... automorphic solutions of difference equations, it remains to study discrete almost automorphic solutions of Volterra difference equations as well as discrete almost autom...

Ngày tải lên: 21/06/2014, 20:20

... used in 8. 2. Preliminary lemmas In order to prove the local L s -integrability of the local unbounded minima of the anisotropic functionals and weak solutions of anisotropic equations, we need ... depending on u, in the proof of the local regularity results, w e have to estimate the integral of some power of |u| by means of |Du|.Todothis,we will make use of the Sobolev i...

Ngày tải lên: 22/06/2014, 06:20

... stability of the linear functional equation,” Proceedings of the National Academy of Sciences of the United States of America, vol. 27, no. 4, pp. 222–224, 1941. 2 T. Aoki, “On the stability of ... Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, and a generalization of...

Ngày tải lên: 22/06/2014, 06:20

... (2.29) is nonlinear. 3. Mutual comparability of solutions of (1.1) The aim of this section is to establish certain conditions under which each two solutions of (1.1) lying in a certain linear manifold ... assumptions of Corollary 3.4,oneofthe following two conditions is true: (a) A preserves the K-negligibility of elements of the set Π; (b) A is continuous in the topology o...

Ngày tải lên: 22/06/2014, 18:20

... used in 8. 2. Preliminary lemmas In order to prove the local L s -integrability of the local unbounded minima of the anisotropic functionals and weak solutions of anisotropic equations, we need ... depending on u, in the proof of the local regularity results, w e have to estimate the integral of some power of |u| by means of |Du|.Todothis,we will make use of the Sobolev i...

Ngày tải lên: 22/06/2014, 18:20