Existence of positive solutions to singular -Laplacian general Dirichlet boundary value problems with sign changing nonlinearity.
Existence of solution and positive solution for a nonlinear third-order -point BVP.
Existence of solution for third order m-point boundary value problem.
Existence of solutions for a class of fourth-order -point boundary value problems.
Existence of solutions for a class of weighted -Laplacian system multipoint boundary value problems.
Existence of solutions for fourth-order four-point boundary value problem on time scales.
Existence of solutions for fractional differential inclusions with nonlocal Riemann-Liouville integral boundary conditions
In this paper, we discuss the existence of solutions for a boundary value problem of fractional differential inclusions with nonlocal Riemann-Liouville integral boundary conditions. Our results include the cases when the multivalued map involved in the problem is (i) convex valued, (ii) lower semicontinuous with nonempty closed and decomposable values and (iii) nonconvex valued. In case (i) we apply a nonlinear alternative of Leray-Schauder type, in the second case we combine the nonlinear alternative...
Existence of solutions for -point boundary value problems on a half-line.
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.