[PDF] Top 20 Green's Function for Discrete Second-Order Problems with Nonlocal Boundary Conditions

... study discrete Green’s functions and their relationship with discrete Laplace ...to discrete Green’s function with a high accuracy analysis of the three-dimensional block finite element ... See full document

... Green’s function are generalized for nonclassical solutions to classical differential problems as well as nonlocal problems ...for Nonlocal Boundary Conditions ( ... See full document

... of second-order lin- ear difference equations subject to the boundary conditions (BC), and we present the prop- erties of the corresponding Green ... See full document

... nonnegative function κ and a constant ρ ¯ ∈ (, ] such that G(t, s) ≤ κ (s) for t, s ∈ J and G(t, s) ≥ ¯ ρκ(t) for t ∈ [η, η] ¯ ⊂ [, ] and s ∈ J (see, for example, [–]) to ... See full document

... A boundary value problem is called a resonance one if the corresponding homogeneous boundary value problem has a non-trivial ...Resonance problems can be expressed as an abstract equation Lx = Nx, ... See full document

... mann boundary conditions u() = u(T) = , we show the Green’s functions of the lin- ear difference operators –  u(t – ) + Lu(t) and  u(t – ) + Ku(t), where L and K are two positive constants with K < ... See full document

... The rest of the present paper is structured as follows. In the next section, we intro- duce some notation and preliminary results. In particular, we give some properties of the Green’s function related to problem ... See full document

... The nonlocal 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

... Definition . Let F : [, ] × R → P ( R ) be a multivalued function with nonempty com- pact values. We say F is of lower semicontinuous type (l.s.c. type) if its associated Ne- mytskii operator F is lower ... See full document

... Let S be a closed, convex and nonempty subset of a Banach space ...∈ S whenever x, y ∈ S; (b) A is compact and continuous; (c) B is a contraction ...∈ S such that z = Az + ... See full document

... 8. Asakawa, H: On nonresonant singular two-point boundary value problems. Nonlinear Anal. 47, 4849-4860 (2001) 9. Zeidler, E: Nonlinear Functional Analysis and Its Applications, I. Fixed-Point Theorems. ... See full document

... third order ordinary differential equations with integral boundary ...sufficient conditions on the nonlinearity and the functions appearing in the boundary conditions that guarantee the ... See full document

... functionals on C[, ] given by Riemann-Stieltjes integrals with signed measures; a, b, c, d are nonnegative constants with ρ := ac + ad + bc > . To the best of our knowledge, the study of existence of positive ... See full document

... equations boundary value problems with nonlocal boundary conditions arise in a variety of different areas of applied mathemat- ics and ...to nonlocal problems with inte- ... See full document

... involving a positive continuous function a, under growth condition (2). We show that this condition suffices to obtain existence results also for the general equation (3) and, mainly, it allows us to widen the class ... See full document

... nonlinear boundary value problems, and we cite [3, 5, 23, 28–30, 33, 35, 36, 38, 40] as a list for just a few of these papers dealing with both theoretical issues as well as application ...addition, ... See full document

... the boundary value problems at resonance, researchers usually use the continuity method or nonlinear alternative, which involves a complicated a priori estimate for the solution set; see [, ...about ... See full document

... the boundary con- ditions in () satisfies dim(ker L) = ...sufficient conditions for the existence of solutions to problem () on a half line at resonance with dim(kerL) =  by using Mawhin’s continuation ... See full document

... the boundary value prob- lem (BVP for short in the sequel) ...fourth-order boundary value problem. In addition, the conditions imposed in this paper are easily ... See full document

... We discuss the existence and uniqueness of the solutions of a second-order m-point nonlocal boundary value problem by applying a generalized quasilinearization technique. A monotone sequence ... See full document