This paper aims to present results that guarantee the existence of solution to a problem involving a fractional differential equation with antiperiodic boundary conditions. The fractional differential equation considered ...

In this paper, considering _ RN (N > 2) a bounded smooth domain, using blow-up techniques and the Leray Schauder Topological Degree theory, we intend to ensure the existence of positive solutions for a problem involving ...

For some abstract classes of nonlinear non-autonomous systems with variable and state-dependent delays existence, non-existence and multiplicity of periodic solutions are discussed. To illustrate the efficiency of the ...

In this paper, we consider the existence (and nonexistence) of solutions to −Mλ,Λ ±(u″)+V(x)u=f(u)inR where Mλ,Λ + and Mλ,Λ − denote the Pucci operators with 0<λ≤Λ<∞ V(x) is a bounded function, f(s) is a continuous ...

Using Leray-Schauder degree theory and the method of upper andlower solutions we establish existence and multiplicity of solutions for problemsof the form(ϕ(u0))0 = f(t, u, u0)u(0) = u(T) = u0(0),where ϕ is an increasing ...

We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a ϕ-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray–Schauder ...

We study the existence and multiplicity of periodic solutions for singular ϕ-laplacian equations with delay on time scales. We prove the existence of multiple solutions using topological methods based on the LeraySchauder ...

In this paper we deal with positive radially symmetric solutions for a boundary value problem containing a strongly nonlinear operator. The proof of existence of positive solutions that we give uses the blow-up method as ...

TWe prove the existence of T−periodic solutions for the second order non-linear equation u0 1 − u02 0 = h(t)g(u), where the non-linear term g has two singularities and the weight function h changes sign. We find a relation ...