In this paper, weconsider the fourth order p-Laplacian beam equation (?p(u??(t)))?? = f (t, u(t), u??(t)) with integral boundary conditions u??(0) u??(1) 0, u(0)??u?(0) ?10 g1(s)u(s)ds, u(1)+?u?(1) ? 10 g2(s)u(s)ds. By using contraction mapping principle, we establish existence and uniqueness of solutions for problem. The monotony iterations is also considered. At last, some examples are presen...

The novelty of our paper is to establish results on asymptotic stability mild solutions in $p$th moment Riemann-Liouville fractional stochastic neutral differential equations (for short FSNDEs) order $\alpha \in (\frac{1}{2},1)$ using a Banach's contraction mapping principle. core point this derive the solution FSNDEs involving time-derivative by applying version variation constants formula. ar...

We prove the existence of periodic traveling wave solutions for general discrete nonlinear Klein-Gordon systems, considering both cases hard and soft on-site potentials. In case potentials, we implement a fixed-point theory approach, combining Schauder's theorem contraction mapping principle. This approach enables us to identify ring in energy space nontrivial exist, (norm) thresholds their exi...