On the existence and uniqueness of periodic solutions for difference equations of second order
On the Existence and Uniqueness of Periodic Solutions of Differential Delay Equations.
On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem
We prove existence and uniqueness of classical solutions for an incomplete second-order abstract Cauchy problem associated with operators which have polynomially bounded resolvent. Some examples of differential operators to which our abstract result applies are also included.
On the existence and uniqueness of solutions of a multipoint boundary value problem
On the existence and uniqueness of solutions of systems of differential equations with a deviated argument
On the existence and uniqueness of solutions to boundary value problems on time scales.
On the existence of a bounded solution of a non-linear differential equation
On the existence of a component-wise positive radially symmetric solution for a superlinear system.
On the existence of a measure unbounded exponential spectral characteristic set of a linear system with a small parameter at the derivative.
On the existence of a periodic solution of a nonlinear ordinary differential equation.
On the existence of a solution for nonlinear operator equations in Fréchet spaces
On the Existence of a Solution of a Singular Boundary Value Problem
On the existence of a solution of a two-point boundary value problem in a cylindrical floating zone.
On the existence of a solution of a vector periodic boundary value problem
On the existence of a weak solution of a half-cell model for PEM fuel cells.
On the existence of almost periodic Lyapunov functions for impulsive differential equations.
On the existence of almost-periodic solutions of neutral functional-differential equations.
On the existence of bounded solutions of differential equations in Banach spaces
On the existence of canard solutions
We study the existence of global canard surfaces for a wide class of real singular perturbation problems. These surfaces define families of solutions which remain near the slow curve as the singular parameter goes to zero.
On the existence of chaotic behaviour of diffeomorphisms
For several specific mappings we show their chaotic behaviour by detecting the existence of their transversal homoclinic points. Our approach has an analytical feature based on the method of Lyapunov-Schmidt.