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Nonlinear higher order differential and integral coupled systems :impulsive and integral equations on bounded and unbounded domains /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Nonlinear higher order differential and integral coupled systems :Feliz Manuel Minhós, Universidade de Évora, Portugal, Robert de Sousa, Universidade de Cabo Verde, Cape Verde.
其他題名:	impulsive and integral equations on bounded and unbounded domains /
作者:	Minhós, Feliz Manuel,
其他作者:	Sousa, Robert de,
面頁冊數:	xix, 222 pages ;24 cm.
標題:	Boundary value problems.
ISBN:	9789811225123

Nonlinear higher order differential and integral coupled systems :impulsive and integral equations on bounded and unbounded domains /
Minhós, Feliz Manuel,

Nonlinear higher order differential and integral coupled systems :impulsive and integral equations on bounded and unbounded domains /Feliz Manuel Minhós, Universidade de Évora, Portugal, Robert de Sousa, Universidade de Cabo Verde, Cape Verde. - xix, 222 pages ;24 cm. - Trends in abstract and applied analysis,Vol. 102424-8746 ;. - Trends in abstract and applied analysis ;v. 3..

Includes bibliographical references and index.

"Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap. The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic, amongst others). This would be the first time that differential and integral coupled systems are studied systematically. The existence, and in some cases, the localization of the solutions are carried out in Banach space, following several types of arguments and approaches such as Schauder's fixed-point theorem or Guo-Krasnosel'ski�i fixed-point theorem in cones, allied to Green's function or its estimates, lower and upper solutions, convenient truncatures, the Nagumo condition presented in different forms, the concept of equiconvergence, Carath�eodory functions, and sequences. Moreover, the final part in the volume features some techniques on how to relate differential coupled systems to integral ones, which require less regularity. Parallel to the theoretical explanation of this work, there is a range of practical examples and applications involving real phenomena, focusing on physics, mechanics, biology, forestry, and dynamical systems, which researchers and students will find useful"--

ISBN: 9789811225123

CODEN: cam 2200349 i 4500

LCCN: 2020040733Subjects--Topical Terms:

206979
Boundary value problems.

LC Class. No.: QA379 / .M555 2022

Dewey Class. No.: 515/.35

Nonlinear higher order differential and integral coupled systems :impulsive and integral equations on bounded and unbounded domains /
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520 $a "Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap. The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic, amongst others). This would be the first time that differential and integral coupled systems are studied systematically. The existence, and in some cases, the localization of the solutions are carried out in Banach space, following several types of arguments and approaches such as Schauder's fixed-point theorem or Guo-Krasnosel'ski�i fixed-point theorem in cones, allied to Green's function or its estimates, lower and upper solutions, convenient truncatures, the Nagumo condition presented in different forms, the concept of equiconvergence, Carath�eodory functions, and sequences. Moreover, the final part in the volume features some techniques on how to relate differential coupled systems to integral ones, which require less regularity. Parallel to the theoretical explanation of this work, there is a range of practical examples and applications involving real phenomena, focusing on physics, mechanics, biology, forestry, and dynamical systems, which researchers and students will find useful"-- $c Provided by publisher.
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