Periodic Solutions Of Scalar Second Order Differential Equations With A Singularity
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Author | : Alessandro Fonda |
Publisher | : |
Total Pages | : 46 |
Release | : 1993 |
Genre | : Differential equations |
ISBN | : |
Download Periodic Solutions of Scalar Second Order Differential Equations with a Singularity Book in PDF, Epub and Kindle
Author | : Karl P. Hadeler |
Publisher | : |
Total Pages | : 14 |
Release | : 1991 |
Genre | : |
ISBN | : |
Download Periodic solutions of scalar first order differential equations Book in PDF, Epub and Kindle
Author | : Warren Simms Loud |
Publisher | : American Mathematical Soc. |
Total Pages | : 137 |
Release | : 1964 |
Genre | : Differential equations |
ISBN | : 0821812475 |
Download Periodic Solutions of Perturbed Second-Order Autonomous Equations Book in PDF, Epub and Kindle
Author | : A. Canada |
Publisher | : Elsevier |
Total Pages | : 753 |
Release | : 2006-08-21 |
Genre | : Mathematics |
ISBN | : 0080463819 |
Download Handbook of Differential Equations: Ordinary Differential Equations Book in PDF, Epub and Kindle
This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience. These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for reseach, learing and teaching. This volumes consists of seven chapters covering a variety of problems in ordinary differential equations. Both pure mathematical research and real word applications are reflected by the contributions to this volume. Covers a variety of problems in ordinary differential equations Pure mathematical and real world applications Written for mathematicians and scientists of many related fields
Author | : Irena Rachunkova |
Publisher | : Hindawi Publishing Corporation |
Total Pages | : 279 |
Release | : 2009 |
Genre | : Boundary value problems |
ISBN | : 9774540409 |
Download Solvability of Nonlinear Singular Problems for Ordinary Differential Equations Book in PDF, Epub and Kindle
Author | : Pablo Amster |
Publisher | : Springer Nature |
Total Pages | : 220 |
Release | : |
Genre | : |
ISBN | : 3031613376 |
Download Topological Methods for Delay and Ordinary Differential Equations Book in PDF, Epub and Kindle
Author | : Denis Bonheure |
Publisher | : Presses univ. de Louvain |
Total Pages | : 218 |
Release | : 2004 |
Genre | : Science |
ISBN | : 293034475X |
Download A Study of Heteroclinic Orbits for a Class of Fourth Order Ordinary Differential Equations Book in PDF, Epub and Kindle
In qualitative theory of differential equations, an important role is played by special classes of solutions, like periodic solutions or solutions to some boundary value problems. When a system of ordinary differential equations has equilibria, i.e. constant solutions, whose stability properties are known, it is significant to search for connections between them by trajectories of solutions of the given system. These are called homoclinic or heteroclinic, according to whether they describe a loop based at one single equilibrium or they "start" and "end" at two distinct equilibria. This thesis is devoted to the study of heteroclinic solutions for a specific class of ordinary differential equations related to the Extended Fisher-Kolmogorov equation and the Swift-Hohenberg equation. These are semilinear fourth order bi-stable evolution equations which appear as mathematical models for problems arising in Mechanics, Chemistry and Biology. For such equations, the set of bounded stationary solutions is of great interest. These solve an autonomous fourth order equation. In this thesis, we focus on such equations having a variational structure. In that case, the solutions are critical points of an associated action functional defined in convenient functional spaces. We then look for heteroclinic solutions as minimizers of the action functional. Our main contributions concern existence and multiplicity results of such global and local minimizers in the case where the functional is defined from sign changing Lagrangians. The underlying idea is to impose conditions which imply a lower bound on the action over all admissible functions. We then combine classical arguments of the Calculus of Variations with careful estimates on minimizing sequences to prove the existence of a minimum.
Author | : C. De Coster |
Publisher | : Elsevier |
Total Pages | : 502 |
Release | : 2006-03-21 |
Genre | : Mathematics |
ISBN | : 0080462472 |
Download Two-Point Boundary Value Problems: Lower and Upper Solutions Book in PDF, Epub and Kindle
This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction. · Presents the fundamental features of the method· Construction of lower and upper solutions in problems· Working applications and illustrated theorems by examples· Description of the history of the method and Bibliographical notes
Author | : |
Publisher | : |
Total Pages | : 492 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
Download Rapport Book in PDF, Epub and Kindle
Author | : Leopold Flatto |
Publisher | : |
Total Pages | : 74 |
Release | : 1955 |
Genre | : |
ISBN | : |
Download Periodic Solutions Associated with Singular Perturbations of a System of Non-linear Differential Equations Book in PDF, Epub and Kindle