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The set of all possible positive solutions is classified into five types according to their asymptotic behavior near infinity, and sharp conditions are established for the existence

In this side, some useful techniques, say the averaging method, have been developed and many significant results have been obtained for the existence of periodic solutions to

The nonlinear impulsive boundary value problem (IBVP) of the second order with nonlinear boundary conditions has been studied by many authors by the lower and upper functions

The principal aim of this paper is that of proving in a rigorous way (and without the need of computer assistance) the existence of infinitely many periodic solutions and the

During the last decades, several authors considered the problem of existence of mild solutions for semilinear evolution equations with finite delay. When the delay is infinite,

The study of the nonexistence of nontrivial solutions of partial differential equa- tions and systems is the subject of several works of many authors, by using various methods to

That is, some authors have used fixed point theorems to show the existence of pos- itive solutions to boundary value problems for ordinary differential equations, difference

Abstract In this paper, we investigate the existence of infinitely many solutions for a class of biharmonic equations where the nonlinearity involves a combination of superlinear