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.
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Taschenbuch. Etat : Neu. 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
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Taschenbuch. Etat : Neu. Existence of Positive Solutions | to Operator Equation in Ordered Banach Space | Gyong-Jin Jo (u. a.) | Taschenbuch | Englisch | 2025 | Scholars' Press | EAN 9786208848125 | Verantwortliche Person für die EU: SIA OmniScriptum Publishing, Brivibas Gatve 197, 1039 RIGA, LETTLAND, customerservice[at]vdm-vsg[dot]de | Anbieter: preigu. N° de réf. du vendeur 133640752
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. N° de réf. du vendeur 9786208848125
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