Differential inclusions in the Almgren sense on unbounded domains
We prove the existence of solutions of differential inclusions on a half-line. Our results are based on an approximation method combined with a diagonalization method.
Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator
Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions. The methods for existence rely on a Ricceri-local minimum theorem for differentiable functionals. Several examples are included to illustrate the main results.
Initial value problems for fractional functional differential inclusions with Hadamard type derivative
We establish sufficient conditions for the existence of solutions of a class of fractional functional differential inclusions involving the Hadamard fractional derivative with order . Both cases of convex and nonconvex valued right hand side are considered.
Addendum to “Initial Value Problems for Fractional Functional Differential Inclusions with Hadamard Type Derivative”
Oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales
In this paper we discuss the existence of oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales. We shall rely of the nonlinear alternative of Leray-Schauder type combined with lower and upper solutions method.
Triple positive solutions for conjugate boundary value problems
Boundary value problems for Caputo-Hadamard fractional differential inclusions in Banach spaces
In this article, we study the existence of solutions in a Banach space of boundary value problems for Caputo-Hadamard fractional differential inclusions of order .
k-component disconjugacy for systems of ordinary differential equations.
Solution matching for boundary value problems for linear equations.
Optimality and existence for Lipschitz equations.
Boundary value problems for third order differential equations by solution matching.
Double solutions of three-point boundary-value problems for second-order differential equations.
On nonresonance impulsive functional nonconvex valued differential inclusions
In this paper a fixed point theorem for contraction multivalued maps due to Covitz and Nadler is used to investigate the existence of solutions for first and second order nonresonance impulsive functional differential inclusions in Banach spaces.
Positive solutions for systems of generalized three-point nonlinear boundary value problems
Values of are determined for which there exist positive solutions of the system of three-point boundary value problems, , , for , and satisfying, , , , . A Guo-Krasnosel’skii fixed point theorem is applied.
Corrigendum to: Positive solutions for systems of generalized three-point nonlinear boundary value problems
On first order impulsive semilinear functional differential inclusions
In this paper the Leray-Schauder nonlinear alternative for multivalued maps combined with the semigroup theory is used to investigate the existence of mild solutions for first order impulsive semilinear functional differential inclusions in Banach spaces.
Positive solutions for a system of fractional boundary value problems
We investigate the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with nonnegative nonlinearities which can be nonsingular or singular functions, subject to multi-point boundary conditions that contain fractional derivatives.
Existence results for nondensely defined semilinear functional differential inclusions in Fréchet spaces.
Positive solutions of second order boundary value problems with changing signs Carathéodory nonlinearities.
Uniqueness of solutions for fourth-order nonlocal boundary value problems.
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