Trending Bestseller

Topological Degree Theory and Applications

No reviews yet Write a Review
Paperback / softback
05 September 2019
$164.66
In Stock: Ships in 7-9 Days
Hurry up! Current stock:
Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications.
The authors begin by introducing the Brouwer degree theory in Rn, then consider the Leray-Schauder degree for compact mappings in normed spaces. Next, they explore the degree theory for condensing mappings, including applications to ODEs in Banach spaces. This is followed by a study of degree theory for A-proper mappings and its applications to semilinear operator equations with Fredholm mappings and periodic boundary value problems. The focus then turns to construction of Mawhin's coincidence degree for L-compact mappings, followed by a presentation of a degree theory for mappings of class (S+) and its perturbations with other monotone-type mappings. The final chapter studies the fixed point index theory in a cone of a Banach space and presents a notable new fixed point index for countably condensing maps.
Examples and exercises complement each chapter. With its blend of old and new techniques, Topological Degree Theory and Applications forms an outstanding text for self-study or special topics courses and a valuable reference for anyone working in differential equations, analysis, or topology.

This product hasn't received any reviews yet. Be the first to review this product!

$164.66
In Stock: Ships in 7-9 Days
Hurry up! Current stock:

Topological Degree Theory and Applications

$164.66

Description

Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications.
The authors begin by introducing the Brouwer degree theory in Rn, then consider the Leray-Schauder degree for compact mappings in normed spaces. Next, they explore the degree theory for condensing mappings, including applications to ODEs in Banach spaces. This is followed by a study of degree theory for A-proper mappings and its applications to semilinear operator equations with Fredholm mappings and periodic boundary value problems. The focus then turns to construction of Mawhin's coincidence degree for L-compact mappings, followed by a presentation of a degree theory for mappings of class (S+) and its perturbations with other monotone-type mappings. The final chapter studies the fixed point index theory in a cone of a Banach space and presents a notable new fixed point index for countably condensing maps.
Examples and exercises complement each chapter. With its blend of old and new techniques, Topological Degree Theory and Applications forms an outstanding text for self-study or special topics courses and a valuable reference for anyone working in differential equations, analysis, or topology.

Customers Also Viewed

Discover your next great read at BookLoop, Australia's trusted online bookstore offering a vast selection of titles across various genres and interests. Whether you're curious about what's trending or searching for graphic novels that captivate, thrilling crime and mystery fiction, or exhilarating action and adventure stories, our curated collections have something for every reader. Delve into imaginative fantasy worlds or explore the realms of science fiction that challenge the boundaries of reality.

For those with a green thumb, our comprehensive range of gardening books provides insights and tips for all levels of enthusiasts. If you're aiming to enhance your financial acumen, our selection of finance, business, and management books offers valuable knowledge from industry experts. Craft lovers will appreciate our assortment of handicrafts, decorative arts, and crafts books, perfect for inspiring your next project. Engage your mind with our collection of hobbies, quizzes, and games books, or explore the mystical with our fortune-telling and divination guides.

Transportation aficionados can immerse themselves in our extensive transportation books, including detailed works on road and motor vehicles. Young readers are not left out, with a delightful array of picture books and early learning concepts designed to educate and entertain. Fans of contemporary narratives will find compelling stories in our contemporary fiction section. Embark on epic journeys with our fantasy and science fiction titles, or gain inspiration from real-life tales in our biographies and true stories collection. Health-conscious readers can explore our health and wholefood cooking books, focusing on specific diets and conditions.

Stay updated with the literary world by browsing our trending books, featuring the latest bestsellers and critically acclaimed works. Explore titles from popular brands like Minecraft, Pokemon, Star Wars, Bluey, Lonely Planet, ABIA award winners, Peppa Pig, and our specialized collection of ADHD books. At BookLoop, we are committed to providing a diverse and enriching reading experience for all.