Displaying similar documents to “On the generalized boundary value problem”

Fixed points and solutions of boundary value problems at resonance

Alaa Almansour, Paul Eloe (2015)

Annales Polonici Mathematici

Similarity:

We consider a simple boundary value problem at resonance for an ordinary differential equation. We employ a shift argument and construct a regular fixed point operator. In contrast to current applications of coincidence degree, standard fixed point theorems are applied to give sufficient conditions for the existence of solutions. We provide three applications of fixed point theory. They are delicate and an application of the contraction mapping principle is notably missing. We give a...

Existence and uniqueness theorems for fourth-order boundary value problems

Jolanta Przybycin (1997)

Annales Polonici Mathematici

Similarity:

We establish the existence and uniqueness theorems for a linear and a nonlinear fourth-order boundary value problem. The results obtained generalize the results of Usmani [4] and Yang [5]. The methods used are based, in principle, on [3], [5].