We study a second order differential equation with nonlinear multi-point boundary conditions. The existence and multiplicity of positive solutions is proved through Krasnoselskii fixed point theorem and Avery-Peterson theorem.

In this paper, the exponential stability of periodic solutions for inertial Cohen-Grossberg-type neural networks are investigated. First, by properly chosen variable substitution the system is transformed to first order differential equation. Second, some sufficient conditions which can ensure the existence and exponential stability of periodic solutions for the system are obtained by using con...

In this paper, we prove the existence of solutions for nonlinear impulsive differential equations of fractional order q ∈ (n − 1, n]. The results are based on Altman's fixed point theorem and Leray-Schauder's fixed point theorem.

non-fragile observer design is the main problem of this paper. using continuous frequency distribution, the stability conditions based on integer order lyapunov theorem are derived for lipschitz class of nonlinear fractional order systems. the proposed observer is stable beside the existence of both gain perturbation and input disturbance. for the first time, in this paper a systematic method i...

We present an existence theorem for integral equations of UrysohnVolterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis.

We consider the inverse problem for a quasilinear second order elliptic equation with unknown coefficient at lower-order term and first kind boundary condition integral overedetermination on boundary. prove theorem local existence uniqueness of strong solution to problem. The result is illustrated by an example nonlinear satisfying all assumptions theorem.

In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metr...

The article is dedicated towards the study of fractional order nonlinear differential systems with non-instantaneous impulses involving Riemann–Liouville derivatives fixed lower limits and appropriate integral type initial conditions in Banach spaces. First, a mild solution system constructed, subsequently, its existence proven using Banach's point theorem. Then, results approximate controllabi...