A continuous dependence of fixed points of ϕ\phi-contractive mappings in uniform spaces

summary:The main purpose of the present paper is to established conditions for a continuous dependence of fixed points of $\phi$-contractive mappings in uniform spaces. An application to nonlinear functional differential equations of neutral type have been made

On the existence and uniqueness of solutions for maximum equations

An existence-uniqueness result for the Cauchy problem for a system of ordinary differential equations with maximums is established

Oscillatory Solutions of Neutral Equations with Polynomial Nonlinearities

Existence uniqueness of an oscillatory solution for nonlinear neutral equations by fixed point method is proved

Lossless Transmission Lines Terminated by Linear and Nonlinear RLC-Loads

Here we consider lossless transmission lines terminated by a circuit consisting of linear and nonlinear RGCL-loads. First we overcome a difficulty caused by nonlinear boundary conditions utilizing Kirchhoff’s laws. The problem arising is to choose as many equations as are the unknown functions. Then we formulate the mixed problem for the hyperbolic system, reduce the mixed problem to an initial value problem on the boundary and obtain a neutral system with respect to new variables. Further on we prove an existence-uniqueness theorem for periodic solution in lossless case

On the existence and uniqueness of solutions for maximum equations

An existence-uniqueness result for the Cauchy problem for a system of ordinary differential equations with maximums is established