Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs
covers all the basics of the subject of fixed-point theory and its applications with a strong …

This paper devoted to research a classical solutions for a range of two-dimensional
problems associated with the propagation of nonlinear waves subjected with a class of initial …

In this article, we investigate the solutions for a class of initial boundary value problems for
nonlinear one‐dimensional wave equations using a fixed point method. The findings …

We study a class of boundary value problems (BVPs) for second order ordinary differential
equations (ODEs). A new topological approach is developed and applied to prove the …

Weakly sufficient conditions that guarantee the existence of positive bounded solutions are
obtained for the equation:\left (p\left (u^ ′ (t)\right)\right)^ ′+ f (u (t))= θ, 0< t< 1, subject to …

In this paper we present an extension of the original version of Leggett-Williams fixed point
theorem for a k-set contraction perturbed by an expansive operator. Our approach is applied …

The purpose of this work is to establish a new generalized form of the Krasnoselskii type
compression-expansion fixed point theorem for a sum of an expansive operator and a …

In this work a new functional expansion-compression fixed point theorem of Leggett--
Williams type is developed for a class of mappings of the form $ T+ F, $ where $(IT) $ is …

This paper discusses the existence of solutions to fourth order nonlinear boundary value
problem involving systems of differential equations and two point boundary conditions. The …

Two nonnegative solutions for two-dimensional nonlinear wave equations Page 1 CUBO, A
Mathematical Journal Vol. 24, no. 03, pp. 393–412, December 2022 DOI: 10.56754/0719-0646.2403.0393 …