Existence of solutions to third-order -point boundary-value problems.
Existence of symmetric positive solutions for an -point boundary value problem.
Existence of three positive periodic solutions for differential systems with feedback controls on time scales.
Existence of three solutions for a higher-order boundary-value problem.
Existence principle for advanced integral equations on semiline.
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 second-order abstract Cauchy problem with nonlocal conditions.
Existence results for first order impulsive functional differential equations with state-dependent delay
In this paper we study the existence of solutions for impulsive differential equations with state dependent delay. Our results are based on the Leray–Schauder nonlinear alternative and Burton–Kirk fixed point theorem for the sum of two operators.
Existence results for higher-order boundary value problems on time scales.
Existence results for impulsive semilinear fractional differential inclusions with delay in Banach spaces
In this paper, we introduce a new concept of mild solution of some class of semilinear fractional differential inclusions of order 0 < α < 1. Also we establish an existence result when the multivalued function has convex values. The result is obtained upon the nonlinear alternative of Leray-Schauder type.
Existence results for impulsive systems with nonlocal conditions in Banach spaces.
Existence results for nonlinear abstract neutral differential equations with time varying delays.
Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces
A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem 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 second-order impulsive neutral functional differential equations with nonlocal conditions.
Existence results for semilinear perturbed functional differential equations with nondensely defined operators.
Existence results for singular boundary value problem of nonlinear fractional differential equation.
Existence results for ϕ-Laplacian Dirichlet BVP of differential inclusions with application to control theory
In this paper, we study ϕ-Laplacian problems for differential inclusions with Dirichlet boundary conditions. We prove the existence of solutions under both convexity and nonconvexity conditions on the multi-valued right-hand side. The nonlinearity satisfies either a Nagumo-type growth condition or an integrably boundedness one. The proofs rely on the Bonhnenblust-Karlin fixed point theorem and the Bressan-Colombo selection theorem respectively. Two applications to a problem from control theory are...
Existence results on the semiinfinite interval for first and second order integrodifferential equations in Banach spaces with nonlocal conditions
Existence theory for nonlinear functional boundary value problems.