The first 60 years of nonlinear analysis of Jean Mawhin : 4-5 April 2003, Sevilla, Spain / edited by M. Delgado ... [et al.].

Format:

Book

Contributor:

Mawhin, J.

Delgado, M. (Manuel)

Language:

English

Subjects (All):

Differential equations, Nonlinear--Congresses.

Differential equations, Nonlinear.

Mathematical analysis--Congresses.

Mathematical analysis.

Mawhin, J.

Physical Description:

1 online resource (266 p.)

Edition:

1st ed.

Other Title:

First sixty years of nonlinear analysis of Jean Mawhin

Place of Publication:

River Edge, N.J. : World Scientific, c2004.

Language Note:

English

Summary:

The work of Jean Mawhin covers different aspects of the theory of differential equations and nonlinear analysis. On the occasion of his sixtieth birthday, a group of mathematicians gathered in Sevilla, Spain, in April 2003 to honor his mathematical achievements as well as his unique personality. This book provides an extraordinary view of a number of ground-breaking ideas and methods in nonlinear analysis and differential equations. <i>List of Contributors:</i> H Amann, M Delgado, J L Gámez, A M Krasnoselskij, E Liz, J Mawhin, P Quittner, B P Rynne, L Sanchez, K Schmitt, J R Ward, F Zanolin

Contents:

Contents ; Preface ; Photos of the homage ; A priori Bounds for the Positive Solutions of Super-Linear Indefinite Weighted Elliptic Problems ; 1. Introduction ; 2. Principal Eigenvalues and Positive Solutions ; 3. Class A(Q) of Admissible Potentials in Q

4. A Priori Bounds for the Positive Solutions of (1) Coincidence Degree and Multidimensional Resonant Problems ; 1. Introduction ; 2. Description of the problem ; 3. Qualitative study of the range ; 4. Final remarks

Uniqueness of the Neumann Condition and Comparison Results for Dirichlet Pseudo-Monotone Problems 1. Introduction ; 2. Uniqueness of the Neumann condition ; 3. Two uniqueness results for pseudomonotone problems on W1p(Q) p>2 ; Parametric Excitation in a Predator-Prey Model

1. Introduction 2. Existence of a w-periodic solution. Dissipativeness ; 3. Existence of a non-trivial w -periodic solution ; 4. Hopf Bifurcation. Parametric excitation ; 5. Averaging and results ; Reasons for a Homage ; 1. First papers ; 2. Functional Analysis

3. Ordinary differential equations 4. Partial differential equations ; 5. Function theory ; 6. Textbooks ; 7. History of Mathematics ; Local Bifurcation for Elliptic Problems; Neumann versus Dirichlet Boundary Conditions ; 1. Introduction ; 2. Local qualitative behavior

Bifurcation through Higher Order Terms for Problems at Resonance

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611898915

9781281898913

1281898910

9789812702906

9812702903

OCLC:

879024895