[PDF] Top 20 Second-Order Boundary Value Problem with Integral Boundary Conditions

... and consider the operator N : U → C0, 1, R. From the choice of U, there is no y ∈ ∂U such that y γNy for some γ ∈ 0, 1. As a consequence of the nonlinear alternative of Leray-Schauder type 15, we deduce that N has a ... See full document

... This paper investigates the existence of concave symmetric positive solutions and establishes corresponding iterative schemes for a second-order boundary value problem with ... See full document

... conditions. Using Banach’s fixed point theorem and the Leray-Schauder nonlinear alternative, we discuss the existence and uniqueness solution of this problem, and we apply Guo-Krasnoselskii’s fixed point ... 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 second-order ... See full document

... tion boundary value problems by different types of ...three-point boundary value ...multi-point boundary value problem by the method of upper and lower ... See full document

... inverse problem of the identification of the low- est coefficient and the right-hand side in a second-order parabolic equation with integral conditions, Boundary Value ... See full document

... We will use the continuation theorem of coincidence degree [2] to show a general theorem for the existence of solutions to the problem (1.1)–(1.2) and then use it to get concrete existence conditions in ... See full document

... The rest of the paper is organized as follows: In Section , we provide some necessary background. In particular, we state some properties of the Green?s function associated with problem (.). In Section , the ... 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

... new problem in which a nonlocal condition is related to the values of the solution on parts of the boundary and on an inte- rior curve for a uniformly elliptic ...nonlocal boundary-value ... See full document

... sufficient conditions for existence (uniqueness) of solutions of (1) such as Banach’s con- traction principle, Krasnoselskii’s fixed point theorem, and the Leray–Schauder nonlinear ... See full document

... Stieltjes integral u() = u () = , D β + u() =   D β + u(t) ...sufficient conditions which guarantee the existence of solutions were ...the problem in [] to make it more complicated so that it ... See full document

... generalized boundary conditions of the surface impedance type, we formulate the boundary value problem into a set of integral equations for unknown electric and magnetic current ... See full document

... changing problem (2) -(4) into the Dirichlet problem for second order ellip- tic depending on time parameter, we can apply the results for this problem in polyhe- dral domains ... See full document

... This paper is organized as follows. Firstly, we introduce a new concept of lower and upper solutions. After that, we establish some new comparison principles and discuss the existence and uniqueness of the solutions for ... See full document

... By Lemma ., the boundary value problem (.) has at least three nontrivial solutions containing a positive solution, a negative solution and a sign-changing solution. Remark By Theorem . and ... See full document

... INTRODUCTION Fourth order boundary value problems arise in the study of the equilibrium of an.. elastic beam under an external load, e.g., see.[r] ... See full document

... u 000 (t) + a(t)f (u(t)) = 0, 0 < t < 1 (1.7) u(0) = u 0 (0) = 0, u 0 (1) = αu 0 (η) (1.8) where 0 < η < 1 and 1 < α < η 1 , f : [0, 1] × R → R is given function. The existence of at least one positive ... 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

... the boundary conditions in BVP ...Riemann-Stieltjes integral, which includes multi-point boundary conditions in BVPs as special ...different conditions and different methods to ... See full document