[PDF] Top 20 Hierarchies of Difference Boundary Value Problems

... Our interest in this topic arose from the work done on transformations and factorisations of continuous Sturm-Liouville boundary value problems by Binding et al. 1 and Browne and Nillsen 2, notably. ... See full document

... Boundary value problems for a coupled system of nonlinear differential equations have been the subject of many investigations ...on boundary value prob- lems for a coupled system of ... See full document

... Nonlocal BVPs seem to be more interesting than the local ones not only they are more natural but also because of their numerous applications. Moreover, in the numerical ex- periment, the calculation of the value ... See full document

... 3. Atici, FM, Eloe, PW: Fractional q-calculus on a time scale. J. Nonlinear Math. Phys. 14(3), 333-344 (2007) 4. Atici, FM, Eloe, PW: A transform method in discrete fractional calculus. Int. J. Differ. Equ. 2(2), 165-176 ... See full document

... ‘elliptic boundary value problem’ means not only satisfying certain equation in inner points of a manifold, but satisfying some boundary conditions as ...These boundary conditions have been ... See full document

... Cauchy boundary conditions, to inves- tigate the existence interval of q-Mittag-Leffler function with no real zeros, and to take advantage of Laplace transform, which most papers rarely ... See full document

... same boundary value ...discrete boundary value problems extend to the fraction-order ...another boundary value ...fractional boundary value problem of the ... See full document

... The plan of this paper is as follows. In Section  we recall some definitions and basic lem- mas. Also, we derive a representation for the solution to (.) by converting the problem to an equivalent summation equation. ... See full document

... uous function. Most results on the solution of boundary value problem of fractional q- difference equations that have been obtained concern the finite interval. In this paper, the range of variables is ... See full document

... Forced oscillation for solutions of boundary value problems of fractional partial difference equations Li and Sheng Advances in Difference Equations (2016) 2016 263 DOI 10 1186/s13662 016 0992 2 R E S[.] ... See full document

... In this paper, we investigate the existence and uniqueness of solutions for mixed fractional q-difference boundary value problems involving the Riemann–Liouville and the Caputo fractional derivative. ... 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

... the boundary condition and the initial con- ...different problems for difference equations with delays and maxima such as the initial value problem, the periodic boundary value problem, ... See full document

... Central difference formula, Finite difference methods, Generalized symmetric eigenvalue problem, Positive definite matrix, Two-point boundary value problem.. INTRODUCT ION We shall consi[r] ... See full document

... initial value problems for impul- sive fractional q-difference equations were ...antiperiodic boundary conditions was discussed in [], whereas the existence results for a nonlinear impulsive q k ... See full document

... the boundary value problems (BVPs) of the difference equations has been extensively studied; to mention a few references, see [–] and the references ... See full document

... Solvability of boundary value problems for a class of partial difference equations on the combinatorial domain Stevic? Advances in Difference Equations (2016) 2016 262 DOI 10 1186/s13662 016 0987 z R[.] ... See full document

... requires that the difference approximations be used for approximating both y and y. To accomplish this, we select an integer N > 0 and divide the interval [a, b] into N + 1 equal subintervals, whose end ... See full document

... finite difference methods in solving nonhomogeneous boundary value problem”, The Pacific Journal of Science and Technology, ...“Finite Difference Method for Laplace ... See full document

... solving boundary value problems associated to functional differ- ence systems on the discrete half-line is presented and applied in studying the existence of positive unbounded solutions for a system ... See full document