[PDF] Top 20 Boundary value problems for functional difference equations on infinite intervals

... Our main tool is based on an existence result concerning the solvability of functional boundary value problems on unbounded domains and is presented in the next section. Such a result ... See full document

... differential equations in Banach space has become a new important branch of investigation see, ...two-point boundary value problems BVP for short on infinite intervals in a Banach ... See full document

... years, boundary value problems BVPs of differential and difference equations have been studied widely and there are many excellent results see Gai et ...the boundary value ... See full document

... Finally, by the Banach contraction principle, the mapping M : → has a unique fixed point x ∈ having the expression (.), which coincides with (.). It follows from Lemma . that x is the unique solution on [, ∞ ) of ... See full document

... Proof Consider the operator T : X → X defined by (.). Clearly, the fixed point of the operator T is the solution of boundary value problem (.). We will use the Banach con- traction principle to prove that ... See full document

... Boundary value problems to differential equations on the half-line arise naturally in the study of radially symmetric solutions of nonlinear elliptic equations, and many works have been ... See full document

... Fang, “On positive solutions of boundary value problems for second-order functional di ff erential equations on infinite intervals,” Journal of Mathematical Analysis and Applications , vo[r] ... See full document

... We deal with Dirichlet boundary value problems for p-Laplacian difference equations depending on a parameter λ. Under some assumptions, we verify the existence of at least three solutions when ... See full document

... differential equations, the boundary value problems on infinite intervals have also been extensively researched, see ...m-point boundary value problem of fractional ... See full document

... An outline of this paper is as follows. In Section , we establish the variational framework and introduce two variants of the mountain pass theorem, the local minimum theorem and its variant. Some notations will also be ... See full document

... The plan of this paper is as follows. We first give the form of solutions of problem (.), second we prove the existence and uniqueness of a solution to problem (.) by the con- traction mapping theorem and the Brouwer ... See full document

... concave functional on P , and let ψ be a nonnegative continuous functional on P satisfying ψ (λy) ≤ λψ (y) for all  ≤ λ ≤ , such that for some positive numbers z and ... See full document

... their functional analytic impact will speak for ...the boundary value problems of Schr ¨odinger equations on time scales that have the structure of adaptive grids is a wide new research ... See full document

... Existence r,sdts fir a second order bo, mdary vahw p,ll,nz fir fiuwtiCmal differential ’qatiIlS, are giwn.. The rcsflts ar }asct tmth’ nmlin’ar Alterna.tiv, f Leray-S’haaMcr and rely .m [r] ... See full document

... As you study from this book, you’ll often be asked to use computer software and graphics. Exercises with this intent are marked as C (computer or calculator required), C/G (computer and/or graphics required), or L ... See full document

... In this paper, we study a boundary value problem for second-order nonlinear Hahn integro-difference equations with nonlocal integral boundary conditions. Our problem contains two Hahn difference ... See full document

... λ-dependent boundary conditions at the end points, where λ is the ...of boundary value problems keeping the form of the second- order difference equation constant but possibly increasing or ... See full document

... differential equations play a vital role in describ- ing many phenomena related to physics, chemistry, mechanics, control systems, flow in porous media, electrical networks, mathematical biology and ...and ... See full document

... Moiseev 2, 3 and Gupta 4 . Since then, great efforts have been devoted to nonlinear multi- point BVPs due to their theoretical challenge and great application potential. Many results on the existence of positive solutions ... See full document

... functions. We point out that fractional difference equations have been extensively studied in recent years. Systems of discrete fractional boundary value problems are also popular. In [], the ... See full document