[PDF] Top 20 Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions

... the boundary value problem L is an in- teresting subject for many ...Sturm-Liouville problems with k = w ≡ 1 and an integrable potential g, or with locally integrable functions k − 1 , g, w on finite ... See full document

... Motivated by [, , –], this paper is concerned with the boundary value problem (.) under sublinear conditions. The method we use is based on some recent fixed point theorems derived by Sun ... See full document

... transversality conditions for the Hahn quantum variational ...initial value problems with Hahn difference equations using the method of successive ... See full document

... Boundary value problems of ordinary differential equations arise in kinds of different areas of applied mathematics and ...multi-point boundary value problems for ... See full document

... of boundary value problems with integral boundary conditions for ordinary differential equations arises in different areas of applied mathematics and ...nonlinear problems with ... See full document

... the boundary conditions ...standard boundary value formulation more precisely, and give some simple examples to highlight various problems with this ...these problems is then ... See full document

... of boundary value problems with integral boundary conditions; for example, see Liu, Sun, Zhang, and Wu [30], Zhang, Feng, and Ge [31], Zhang and Ge [32], Hao et ...multipoint ... See full document

... In this article, existence results of at least one positive solution of (1.1) are first established as a result of the theory of fixed point index. Second, we apply the Avery–Henderson fixed–point theorem to prove ... See full document

... Now the unknown parameters are determined by solving the system of equations 9 and substituting these values of parameters in 4 , we get the approximate solution of the equation (3) for Cauchy boundary ... See full document

... separate boundary conditions in this ...these problems with boundary value where the potential q (x) is an arbitrary complex function valued in [a, ... See full document

... of second-order ordinary differential equations arise from many fields in physics, biology and chemistry; for example, in the theory of nonlinear diffusion gener- ated by nonlinear sources, in thermal ignition ... See full document

... for second-order differential equations subject to nonlinear impulsive conditions and non-separated periodic boundary value ... See full document

... of boundary-value problems for linear differential equations was initiated by many ...many problems with classical boundary conditions are presented in ...singular ... See full document

... multi-point boundary value problems has received increas- ing ...multi-point boundary value problems of linear second-order ordinary dif- ferential equations was ... See full document

... nonlinear second-order difference equations subject to multi-point boundary conditions, under some assumptions on the nonlinearities of the system which contains concave ... See full document

... have a nonnegative maximum in { 0, ..., T + 1 } . From the assumption (2.20), this maxi- mum must be achieved in { 1,... ,T } . Choose c ∈ { 1,... ,T } such that r(c) = max { r(k); k ∈ { 1, ...,T }} and suppose that ... See full document

... the second order boundary value problems with integral boundary conditions in which the nonlinearities ft, xt are allowed to have the singularities in t and are not ... See full document

... Impulsive differential equations serve as basic models to study the dynamics of processes that are subject to sudden changes in their states. Recent development in this field has been motivated by many applied ... See full document

... Superlinear problems with classical boundary value conditions have been considered in many papers, particularly in the second and fourth order cases, with either periodic or ... See full document

... interface boundary value problems with discontinuous source ...of boundary functions and the lemma of lower-upper solutions we obtain the existence, asymptotic estimates, and uniqueness of the ... See full document