Existence of Positive Solutions

Gyong-Jin Jo

ISBN 10: 6208848121 / ISBN 13: 9786208848125

Edité par Omniscriptum, Scholars' Press, 2025

A propos de cet article

This item is printed on demand - it takes 3-4 days longer - Neuware -The study of the existence of positive solutions of operator equations in ordered Banach spaces, in which algebra, geometry and analysis are combined, has received much attention in the past few decades, but still in the present time.It is related to the existence of positive solutions of operator equations that have been raised in application, such as buckling of mechanical structures, design of suspension bridges, steady-state temperature distribution, chemical reactions, interaction between predators and prey, and management of natural resources.This problem can be reduced to the existence of an equation in an ordered Banach space.In this book we consider the existence of solutions of some types of equations in ordered Banach spaces.First, the existence and nonexistence of solutions of equations with differentiable concave-convex operators are discussed depending on the parameters.Next, based on the concept of partial incomplete compactness measure, we consider the existence of fixed points of monotone operators satisfying weak compactness conditions.Finally, we apply the bifurcation theory to consider the set of positive solutions of the boundary value problem. 108 pp. Englisch.

N° de réf. du vendeur 9786208848125

Détails bibliographiques

• Titre: Existence of Positive Solutions
• Éditeur: Omniscriptum, Scholars' Press
• Date de parution: 2025
• Langue: anglais
• ISBN à 10 chiffres: 6208848121
• ISBN à 13 chiffres: 9786208848125
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 220 L x 150 H x 33 P (en millimètres) 220 millimètres de largeur par 150 millimètres de hauteur par 33 millimètres de profondeur

A propos de ce titre

Synopsis

The study of the existence of positive solutions of operator equations in ordered Banach spaces, in which algebra, geometry and analysis are combined, has received much attention in the past few decades, but still in the present time.It is related to the existence of positive solutions of operator equations that have been raised in application, such as buckling of mechanical structures, design of suspension bridges, steady-state temperature distribution, chemical reactions, interaction between predators and prey, and management of natural resources.This problem can be reduced to the existence of an equation in an ordered Banach space.In this book we consider the existence of solutions of some types of equations in ordered Banach spaces.First, the existence and nonexistence of solutions of equations with differentiable concave-convex operators are discussed depending on the parameters.Next, based on the concept of partial incomplete compactness measure, we consider the existence of fixed points of monotone operators satisfying weak compactness conditions.Finally, we apply the bifurcation theory to consider the set of positive solutions of the boundary value problem.