73 research outputs found
Periodic boundary value problems for nonlinear impulsive fractional differential equation
In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional derivative by using Banach contraction principle
Triple positive solutions for second-order four-point boundary value problem with sign changing nonlinearities
In this paper, we study the existence of triple positive solutions for second-order four-point boundary value problem with sign changing nonlinearities. We first study the associated Green's function and obtain some useful properties. Our main tool is the fixed point theorem due to Avery and Peterson. The results of this paper are new and extent previously known results
Existence of Positive Solutions for a Functional Fractional Boundary Value Problem
We study the existence of positive solutions for a boundary value problem of fractional-order functional differential equations. Several new existence results are obtained
New results concerning the exponential stability of delayed neural networks with impulses
AbstractEmploying the matrix measure approach and Lyapunov function, the author studies the global exponential stability of delayed neural networks with impulses in this paper. Some novel and sufficient conditions are given to guarantee the global exponential stability of the equilibrium point for such delayed neural networks with impulses. Finally, three examples are given to show the effectiveness of the results obtained here
Existence of Three Solutions for a Nonlinear Fractional Boundary Value Problem via a Critical Points Theorem
This paper is concerned with the existence of three solutions to a nonlinear fractional boundary value problem as follows: (d/dt)((1/2)0Dtα-1(0CDtαu(t))-(1/2)tDTα-1(tCDTαu(t)))+λa(t)f(u(t))=0, a.e.  t∈[0,T],u(0)=u(T)=0, where α∈(1/2,1], and λ is a positive real parameter. The approach is based on a critical-points theorem established by G. Bonanno
New results concerning the exponential stability of delayed neural networks with impulses
AbstractEmploying the matrix measure approach and Lyapunov function, the author studies the global exponential stability of delayed neural networks with impulses in this paper. Some novel and sufficient conditions are given to guarantee the global exponential stability of the equilibrium point for such delayed neural networks with impulses. Finally, three examples are given to show the effectiveness of the results obtained here
Existence of positive solutions for boundary value problems of fractional functional differential equations
This paper deals with the existence of positive solutions for a boundary value problem involving a nonlinear functional differential equation of fractional order given by , , , , , . Our results are based on the nonlinear alternative of Leray-Schauder type and Krasnosel'skii fixed point theorem
Existence of multiple positive solutions of higher order multi-point nonhomogeneous boundary value problem
In this paper, by using the Avery and Peterson fixed point theorem, we establish the existence of multiple positive solutions for the following higher order multi-point nonhomogeneous boundary value problem
,
,
where and are integers, for and , . We give an example to illustrate our result
Green's function and positive solutions of a singular nth-order three-point boundary value problem on time scales
In this paper, we investigate the existence of positive solutions for a class of singular th-order three-point boundary value problem. The associated Green's function for the boundary value problem is given at first, and some useful properties of the Green's function are obtained. The main tool is fixed-point index theory. The results obtained in this paper essentially improve and generalize some well-known results
Existence of solutions for fourth order differential equation with four-point boundary conditions
AbstractIn this paper we investigate the existence of solutions of a class of four-point boundary value problems for a fourth order ordinary differential equation. Our analysis relies on a nonlinear alternative of Leray–Schauder type
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