An application of Schauder’s fixed point theorem with respect to higher order BVPs

Solutions to Second Order Non-homogeneous Multi-point Bvps Using a Fixed-point Theorem

In this article, we study five non-homogeneous multi-point boundary-value problems (BVPs) of second order differential equations with the onedimensional p-Laplacian. These problems have a common equation (in different function domains) and different boundary conditions. We find conditions that guarantee the existence of at least three positive solutions. The results obtained generalize several ...

Generalization of Darbo's fixed point theorem and application

In this paper, an attempt is made to present an extension of Darbo's theorem, and its applicationto study the solvability of a functional integral equation of Volterra type.

Two - point higher order BVPs with singularities in phase variables ∗

The existence of solutions for singular higher order differential equations with the Lidstone or the (n, p) boundary conditions is proved. The righthand sides of differential equations can have singularities in the zero value of their phase variables and so higher derivatives of solutions changing their signs can pass through these singularities. Proofs are based on the method of a priori estim...

Tarski's Fixed-Point Theorem and Higher-Order Term Rewrite Systems

New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application

In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and  $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions   via $alpha$-admissible simulation mappings, as well. Our results  can be viewed as extension of the corresponding results in this area.  Moreover, some examples and an application to funct...