Existence of solutions of a second order abstract functional Cauchy problem with nonlocal conditions

Existence Results for a Second-order Abstract Cauchy Problem with Nonlocal Conditions

In this paper we study the existence of mild and classical solutions for a second-order abstract Cauchy problem with nonlocal conditions.

Existence of positive solutions of the Cauchy problem for a second-order differential equation

In this paper we consider the equation u (t) = f (t, u(t), u (t)) and prove the unique solvability of the Cauchy problem u(0) = 0, u (0) = λ with λ > 0.

Existence of mild solutions of second-order neutral functional differential inclusions with nonlocal conditions in Banach spaces

Existence of Solutions for a Second Order Abstract Functional Differential Equation with State-dependent Delay

In this paper we study the existence of mild solutions for abstract partial functional differential equation with state-dependent delay.

Existence of Positive Solutions of a Nonlinear Second-order Boundary-value Problem with Integral Boundary Conditions

In this article we prove the existence of at least one positive solution for a three-point integral boundary-value problem for a second-order nonlinear differential equation. The existence result is obtained by using Schauder’s fixed point theorem. Therefore, we do not need local assumptions such as superlinearity or sublinearity of the involved nonlinear functions.