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Existence of solutions for -order nonlinear differential boundary value problems by means of new fixed point theorems
Alberto Cabada, Lorena Saavedra
This paper is devoted to prove the existence of one or multiple solutions of a wide range of nonlinear differential boundary value problems. To this end, we obtain some new fixed p…
Constant sign solution for simply supported beam equation with non-homogeneous boundary conditions
Alberto Cabada, Lorena Saavedra
The aim of this paper is to study the following fourth-order operator: T[p,c]\,u(t)\equiv u^{(4)}(t)-p\,u"(t)+c(t)\,u(t)\,,\quad t\in I\equiv [a,b]\,, coupled with the non-homogene…
Constant sign Green's function for simply supported beam equation
Alberto Cabada, Lorena Saavedra
The aim of this paper consists on the study of the following fourth-order operator: \begin{equation}\label{Ec::T4} T[M]\,u(t)\equiv u^{(4)}(t)+p_1(t)\,u"'(t)+p_2(t)\,u"(t)+M\,u(t)\…
Disconjugacy characterization by means of spectral of problems
Alberto Cabada, Lorena Saavedra
This paper is devoted to the description of the interval of parameters for which the general linear -order equation \begin{equation} \label{e-Ln} T_n[M]\,u(t) \equiv u^…