Existence of solutions for nonlinear four-point -Laplacian boundary value problems on time scales.
Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations.
Existence of solutions of second order boundary value problems with integral boundary conditions and singularities.
Existence of solutions to a nonlocal boundary value problem with nonlinear growth.
Existence of solutions to a third-order multi-point problem on time scales.
Existence of solutions to third-order -point boundary-value problems.
Existence of symmetric positive solutions for an -point boundary value problem.
Existence of three monotone solutions of nonhomogeneous multipoint BVPs for second-order differential equations.
Existence of three solutions for a higher-order boundary-value problem.
Existence of three solutions for sytems of multi-point boundary value problems.
Existence Principles for Singular Vector Nonlocal Boundary Value Problems with -Laplacian and their Applications
Existence principles for solutions of singular differential systems satisfying nonlocal boundary conditions are stated. Here is a homeomorphism onto and the Carathéodory function may have singularities in its space variables. Applications of the existence principles are given.
Existence results for a class of high order differential equation associated with integral boundary conditions at resonance
By using Mawhin’s continuation theorem, we provide some sufficient conditions for the existence of solution for a class of high order differential equations of the form associated with the integral boundary conditions at resonance. The interesting point is that we shall deal with the case of nontrivial kernel of arbitrary dimension corresponding to high order differential operator which will cause some difficulties in constructing the generalized inverse operator.
Existence results for impulsive systems with nonlocal conditions in Banach spaces.
Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions
This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.
Existence results for systems with nonlinear coupled nonlocal initial conditions
The purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first order differential systems subject to nonlinear nonlocal initial conditions of functional type. The approach uses vector-valued metrics and matrices convergent to zero. Two existence results are given by means of Schauder and Leray-Schauder fixed point principles and the existence and uniqueness of the solution is obtained via a fixed point theorem due to Perov. Two examples are...
Existence results of three-point boundary value problems for second-order ordinary differential equations.
Existence theorems for a certain nonlinear boundary value problem of the third order
Existence Theorems for a Fourth Order Boundary Value Problem
This paper treats the question of the existence of solutions of a fourth order boundary value problem having the following form: , 0 < t < 1, x(0) = x’(0) = 0, x”(1) = 0, . Boundary value problems of very similar type are also considered. It is assumed that f is a function from the space C([0,1]×ℝ²,ℝ). The main tool used in the proof is the Leray-Schauder nonlinear alternative.
Existence theorems for a second order -point boundary value problem at resonance.
Existence theorems for second order multi-point boundary value problems.