[PDF] Top 20 The eigenvalues and sign changing solutions of a fractional boundary value problem
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The eigenvalues and sign changing solutions of a fractional boundary value problem
... the fractional differential equations, it is extensively applied in various sciences, such as physics, mechanics, chemistry, engineering, astronomy, ...the fractional differential equation boundary ... See full document
14
Comparison of Smallest Eigenvalues for Nabla Fractional Boundary Value Problems
... Igor Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their ...of eigenvalues for ... See full document
9
Sign-changing solution for a third-order boundary-value problem in ordered Banach space with lattice structure
... third-order boundary-value problem, the existence and multiplicity of solutions have also been discussed in many papers (see [–] and the references ...the sign-changing ... See full document
10
On the fundamental solutions of a discontinuous fractional boundary value problem
... involving fractional operators for S-L problems have been ...some fractional composition operators to propose a fractional approach to the ordinary Sturm- Liouville problem and investigate the ... See full document
15
Nontrivial solutions for a fractional boundary value problem
... first eigenvalues corresponding to the relevant linear operators, and the nonnegativity is not necessary to be ...nontrivial solutions and positive solutions are given by means of topo- logical degree ... See full document
9
Sign changing solutions to discrete fourth order Neumann boundary value problems
... where k is the sum of algebraic multiplicities of real eigenvalues of A (∞) in (, +∞). Lemma . (see []) Let X be a solid cone of a Banach space E (X ◦ is nonempty), let be a relatively bounded open subset of ... See full document
11
Positive solutions of discrete Neumann boundary value problems with sign-changing nonlinearities
... positive solutions of boundary value problems for difference equations have been widely ...positive solutions for discrete boundary value problems with sign-changing ... See full document
9
Nonnegative Solutions for a Riemann Liouville Fractional Boundary Value Problem
... a sign-changing function that can be sin- gular in the points t = 0,1 and/or in the variable x ...of solutions for fractional differential equa- tions and systems of fractional ... See full document
12
Existence of positive solutions for fourth-order semipositone multi-point boundary value problems with a sign-changing nonlinear term
... In this article, some new sufficient conditions are obtained by making use of fixed point index theory in cone and constructing some available integral operators together with approximating technique. They guarantee the ... See full document
16
Sign-Changing and Extremal Constant-Sign Solutions of Nonlinear Elliptic Neumann Boundary Value Problems
... nontrivial solutions, which means that we get two extremal constant-sign solutions and one sign-changing solution by using truncation techniques and comparison principles for nonlinear ... See full document
22
Existence of positive solutions to periodic boundary value problems with sign-changing Green's function
... positive solutions to the problem is Krasnosel’skii’s fixed point theorem of cone expansion/ compression type, see for example [1-4], and the references contained ... See full document
6
Multiple Positive Solutions for a Fractional Boundary Value Problem with Fractional Integral Deviating Argument
... Fractional differential equations have been proved to be valuable tools in the modelling of many phenomena in various fields of engineering, such as rheology, fluid flows, electrical networks, viscoelasticity, ... See full document
14
Singular boundary value problems of fractional differential equations with changing sign nonlinearity and parameter
... , problem (.) is reduced to the problem of fractional differential equations and has been studied by Zhao et ...positive solutions for singular boundary value problem ... See full document
18
Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems
... Here, by using critical point theory again, as well as Lyapunov-Schmidt reduction method and degree theory, a sharp condition to guarantee the existence of five or six solutions together with their sign ... See full document
19
Positive solutions for a system of fractional integral boundary value problem
... by the method of multi-point problems (see []). On the other hand, we all know that the Riemann-Stieltjes integral, as in the form of u(s) dη(s), where η is of bounded variation, that is, dη can be a signed measure, ... See full document
14
Iterative solutions for fractional nonlocal boundary value problems involving integral conditions
... of solutions or positive solutions of nonlinear ...of solutions for fractional differential equations; see [, , ...nontrivial sign-changing solutions to fractional ... See full document
13
Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales
... m-point boundary value problem on time scales such that the considered equation admits a nonlinear term f whose sign is allowed to ...discussed problem involves both an increasing ... See full document
12
Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity
... positive solutions for a class of high order fractional differential equation integral boundary value problems with changing sign ...positive solutions, which highlight the ... See full document
17
Sign Changing Solutions for Discrete Dirichlet Boundary Value Problem
... In this paper, our purpose is to establish some sufficient conditions for the ex- istence of solutions for (1.1). First, we will construct a functional I such that so- lutions of (1.1) correspond to critical ... See full document
16
Two generalized Lyapunov type inequalities for a fractional p Laplacian equation with fractional boundary conditions
... In this paper, we prove existence of positive solutions to a nonlinear fractional boundary value problem involving a p-Laplacian operator. Then, under some mild assumptions on the ... See full document
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