Existence results for second-order impulsive functional differential inclusions.
Existence results for second-order impulsive neutral functional differential equations with nonlocal conditions.
Existence results for second-order neutral functional differential and integrodifferential inclusions in Banach spaces.
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 systems of conformable fractional differential equations
In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is -carathéodory function. We employ the method of solution-tube and Schauder’s fixed-point theorem.
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 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 of nonconvex differential inclusions.
Existence results of positive solutions to fractional differential equation with integral boundary conditions
In this paper we consider the existence, multiplicity, and nonexistence of positive solutions to fractional differential equation with integral boundary conditions. Our analysis relies on the fixed point index.
Existence results of three-point boundary value problems for second-order ordinary differential equations.
Existence results on the semiinfinite interval for first and second order integrodifferential equations in Banach spaces with nonlocal conditions
Existence theorem for functional-differential contingent equations
Existence theorem of periodic positive solutions for the Rayleigh equation of retarded type.
Existence theorems for a certain nonlinear boundary value problem of the third order
Existence theorems for a class of first order impulsive differential inclusions.
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 a Two-Point Boundary Value Problem in Banach Space.
Existence theorems for almost periodic solutions of first-order differential equations