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A focal boundary value problem for difference equations

A focal boundary value problem for difference equations

... Comparison of eigenvalues for focal point problems for nth order difference equations, Differential and Integral Equations 3 1990, 363-380.... Sturmian theory for a class of nonselfadjoi[r] ... See full document

8

Existence of positive solutions for second order impulsive differential equations with delay and three point boundary value problem

Existence of positive solutions for second order impulsive differential equations with delay and three point boundary value problem

... three-point boundary value problems for second-order impulsive and delay differential equations, and we obtain the result that there exist at least three nonnegative symmetric positive solutions by ... See full document

11

On a nonlocal boundary value problem for nonlinear second order Hahn difference equation with two different \(q,\omega\) derivatives

On a nonlocal boundary value problem for nonlinear second order Hahn difference equation with two different \(q,\omega\) derivatives

... In particular, the boundary value problem for Hahn difference equations has not been studied. The results mentioned are the motivation for this research. In this paper, we con- sider a ... See full document

25

On nonlocal fractional sum difference boundary value problems for Caputo fractional functional difference equations with delay

On nonlocal fractional sum difference boundary value problems for Caputo fractional functional difference equations with delay

... The results mentioned above are the motivation for this research. The plan of this paper is as follows. In Section  we recall some definitions and basic lemmas. Also, we derive a representation for the solution of (.) ... See full document

14

On nonlocal Neumann boundary value problem for a second order forward \((\alpha,\beta)\) difference equation

On nonlocal Neumann boundary value problem for a second order forward \((\alpha,\beta)\) difference equation

... In this paper, the plan is as follows. In Sect. 2 we recall some definitions and basic lem- mas, and present some properties of the forward (α, β)-difference operators. In this sec- tion, we also derive a representation ... See full document

25

On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point

On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point

... elliptic equations which are irregularly degenerate at an inner point is considered in this ...The equations are weakly coupled by a matrix that has multiple zero eigenvalue and corresponding to it adjoint ... See full document

11

Optimality and existence for Lipschitz equations

Optimality and existence for Lipschitz equations

... HENDERSON, I., Uniqueness of solutions of right focal p.,[,,t boundary value problems for or.[nary dlfferenttal equations, J.. JAGKSON, L., Uniqueness of solutions of boundary value prob[r] ... See full document

8

Difference boundary value problem hierarchies and the forward Crum transformation

Difference boundary value problem hierarchies and the forward Crum transformation

... difference boundary value problems with eigenparameter-dependent boundary ...these boundary conditions transform under this forward ...difference boundary value ... See full document

22

On nonlocal boundary value problems of nonlinear q difference equations

On nonlocal boundary value problems of nonlinear q difference equations

... The aim of our paper is to present some existence results for the problem (1.1). The first result relies on the nonlinear alternative of Leray-Schauder type. In the second result, we apply Banach’s contraction ... See full document

10

Some Basic Difference Equations of Schrödinger Boundary Value Problems

Some Basic Difference Equations of Schrödinger Boundary Value Problems

... without the number 1—the case q 1 being reserved for the classical conventional Hermite polynomials. Depending on the choice of q, the two different types of discrete basic Hermite polynomials can be found. The case 0 ... See full document

22

Three Solutions to Dirichlet Boundary Value Problems for  Laplacian Difference Equations

Three Solutions to Dirichlet Boundary Value Problems for Laplacian Difference Equations

... The paper is organized as follows. The next section is devoted to give some basic defi- nitions. In Section 3, under suitable hypotheses, we prove that the problem 1.1 possesses at least three solutions when λ ... See full document

10

Boundary value problems for fractional q difference equations with nonlocal conditions

Boundary value problems for fractional q difference equations with nonlocal conditions

... the boundary value of nonlinear fractional q-difference equations with nonlocal conditions and in which the nonlinear term contains a fractional q-derivative of Caputo ...following boundary ... See full document

16

The existence of solutions to a class of boundary value problems with fractional difference equations

The existence of solutions to a class of boundary value problems with fractional difference equations

... In this section, we wish to show that under certain conditions, problem (.) has at least one solution. We know that problem (.) can be recast as an equivalent summation equa- tion. It follows from Lemma ... See full document

20

Boundary value problem for nonlinear fractional differential equations with delay

Boundary value problem for nonlinear fractional differential equations with delay

... The paper is arranged as follows. In Section , we review some basic definitions and lemmas. Section  is devoted to the Green function and to the existence and uniqueness of the defined problem. In Section , we ... See full document

14

The positive solutions of infinite point boundary value problem of fractional differential equations on the infinite interval

The positive solutions of infinite point boundary value problem of fractional differential equations on the infinite interval

... () According to Theorem ., we know that there exists a constant λ ∗ ∈ (., ,) such that boundary value problem (.) has at least one positive solution for each λ ∈ [, λ ∗ ], two positive ... See full document

21

Boundary value problems for functional difference equations on infinite intervals

Boundary value problems for functional difference equations on infinite intervals

... 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 of two ... See full document

14

Existence solutions for boundary value problem of nonlinear fractional q difference equations

Existence solutions for boundary value problem of nonlinear fractional q difference equations

... Fractional differential calculus is a discipline to which many researchers are dedicating their time, perhaps because of its demonstrated applications in various fields of science and engineering []. Many researchers ... See full document

12

Anti periodic boundary value problem for first order impulsive delay difference equations

Anti periodic boundary value problem for first order impulsive delay difference equations

... differential equations are recognized as important models which describe many evolution processes that abruptly change their state at a certain ...differential equations has drawn much attention in recent ... See full document

13

Positive solutions of boundary value problem for singular positone and semi positone third order difference equations

Positive solutions of boundary value problem for singular positone and semi positone third order difference equations

... where f : (0, ∞ ) ® (0, ∞ ) is a continuous function, and p and n are positive integers. The existence of positive solutions corresponding to the first eigenvalue of the problem is established, and an interval ... See full document

12

A singular boundary value problem for neutral equations

A singular boundary value problem for neutral equations

... The aim of the present paper is to obtain conditions for the existence and uniqueness of an absolutely continuous solution of a singular boundary value problem for neutral equations, usi[r] ... See full document

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