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.
On the existence of conjugate points for linear differential systems
On the existence of continuous solutions of operator equations in Banach spaces
On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination.
On the existence of equilibrium states of an elastic beam on a nonlinear foundation.
On the existence of homoclinic solutions for almost periodic second order systems
On the existence of infinitely many solutions to a damped sublinear boundary-value problem.
On the existence of meromorphic solutions of differential equations having arbitarily rapid growth.
On the existence of mild solutions for neutral functional differential inclusions in Banach space.
On the existence of mild solutions to some semilinear fractional integro-differential equations.
On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems.
On the existence of monotone solutions for second-order non-convex differential inclusions in infinite dimensional spaces.
On the existence of monotone solutions to a certain class of -th order nonlinear differential equations
On the existence of multiple periodic solutions for the vector -Laplacian via critical point theory
We study the vector -Laplacian We prove that there exists a sequence of solutions of () such that is a critical point of and another sequence of solutions of such that is a local minimum point of , where is a functional defined below.
On the existence of multiple solutions for a nonlocal BVP with vector-valued response
The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences.
On the existence of nonnegative radial solutions for p-Laplacian elliptic systems
The existence of nonnegative radial solutions for some systems of m (m ≥ 1) quasilinear elliptic equations is proved by a simple application of a fixed point theorem in cones.
On the existence of nonnegative solutions of the periodic boundary value problem for a system of linear generalized ordinary differential equations.