Non Linear Eigenvalue Problems For Some Fourth Order Equations Ii Fixed Point Methods
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Non Linear Eigenvalue Problems For Some Fourth Order Equations Ii Fixed Point Methods
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Author : Seymour V. Parter
language : en
Publisher:
Release Date : 1969
Non Linear Eigenvalue Problems For Some Fourth Order Equations Ii Fixed Point Methods written by Seymour V. Parter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Fixed-point theorems are applied to obtain solutions (u sub k(t), theta sub k(t)) of nonlinear fourth order ordinary differential equations of the form u double prime = lambda theta (H sub 1)(t, u, theta), theta double prime = lambda u (H sub 2)(t, u, theta). The solution (u sub k(t), theta sub k(t)) is distinguished by the fact that each function (u sub k(t) or theta sub k(t) has exactly k interior nodal zeros. The basic conditions implying these existence theorems is lambda sub k
Non Linear Eigenvalue Problems For Some Fourth Order Equations I Maximal Solutions
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Author : Seymour V. Parter
language : en
Publisher:
Release Date : 1969
Non Linear Eigenvalue Problems For Some Fourth Order Equations I Maximal Solutions written by Seymour V. Parter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
A constructive, nonlinear iterative method is developed for the construction of a 'positive' solution (u(t), theta(t)) of a nonlinear fourth order ordinary differential equation of the form U double prime = lambda theta(H sub 1)(t, u, theta), theta double prime = lambda u(H sub theta)(t, u, theta). A solution (u(t), theta(t)) is 'positive' if u(t) = or
Eigenvalues Of Non Linear Problems
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Author : G. Prodi
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-02
Eigenvalues Of Non Linear Problems written by G. Prodi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Mathematics categories.
H. Amann: Nonlinear eigenvalue problems in ordered Banach spaces.- P.C. Fife: Branching phenomena in fluid dynamics and chemical reaction-diffusion theory.- W. Klingenberg: The theory of closed geodesics.- P. Rabinowitz: Variational methods for nonlinear eigenvalue problems.- M. Reeken: Existence of solutions to the Hartree-Fock equations.- R. Turner: Positive solutions of nonlinear eigenvalue problems.
Nonlinear Problems Of Elasticity
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Author : Stuart Antman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Nonlinear Problems Of Elasticity written by Stuart Antman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton's Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of the Age of Reason. ) At first, those who solved these problems did not distinguish between linear and nonlinear equations, and so were not intimidated by the latter. By the middle of the nineteenth century, Cauchy had constructed the basic framework of three-dimensional continuum mechanics on the founda tions built by his eighteenth-century predecessors.
Stability And Bifurcation Theory For Non Autonomous Differential Equations
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Author : Anna Capietto
language : en
Publisher: Springer
Release Date : 2012-12-14
Stability And Bifurcation Theory For Non Autonomous Differential Equations written by Anna Capietto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-14 with Mathematics categories.
This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.
Nonlinear Phenomena In Mathematical Sciences
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Author : V. Lakshmikantham
language : en
Publisher: Elsevier
Release Date : 2014-05-12
Nonlinear Phenomena In Mathematical Sciences written by V. Lakshmikantham and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20,1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.
Modern Problems Of Structural Stability
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Author : Alexander P. Seyranian
language : en
Publisher: Springer
Release Date : 2014-05-04
Modern Problems Of Structural Stability written by Alexander P. Seyranian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.
Stability of structures is one of the most important and interesting fields in mechanics. This book is dedicated to fundamental concepts, problems and methods of structural stability along with qualitative understanding of instability phenomena. The methods presented are constructive and easy to implement in computer programs. Recent exciting experiments on dynamic stability of non-conservative systems are described and shown by many photographs.
Index Of Mathematical Papers
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Author :
language : en
Publisher:
Release Date : 1972
Index Of Mathematical Papers written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematical reviews categories.
Eigenvalues Of Non Linear Problems
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Author : Giovanni Prodi
language : en
Publisher:
Release Date : 1974
Eigenvalues Of Non Linear Problems written by Giovanni Prodi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Differential equations, Partial categories.