aVoronezh State University bAutomatics and Mechanics (Technical Cybernetics) Institute of USSR Academy of Sciences
Abstract:
Existence theorems are proved for non-zero solutions of a multi-point Valle–Poussin boundary problem for differential equations with strong non-linearities. The proof is based on the construction of special cones in a Banach space, and on the application of a modification of a theorem on fixed points of operators which expand a cone.