國立虎尾科技大學 |

Topological methods for delay and ordinary differential equations = with applications to continuum mechanics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Topological methods for delay and ordinary differential equations/ edited by Pablo Amster, Pierluigi Benevieri.
其他題名:	with applications to continuum mechanics /
其他作者:	Benevieri, Pierluigi.
出版者:	Cham :Springer International Publishing : : 2024.,
面頁冊數:	xvi, 211 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Continuum Mechanics. -
電子資源:	https://doi.org/10.1007/978-3-031-61337-1
ISBN:	9783031613371

Topological methods for delay and ordinary differential equations = with applications to continuum mechanics /
Topological methods for delay and ordinary differential equationswith applications to continuum mechanics /[electronic resource] :edited by Pablo Amster, Pierluigi Benevieri. - Cham :Springer International Publishing :2024. - xvi, 211 p. :ill., digital ;24 cm. - Advances in continuum mechanics,v. 512524-4647 ;. - Advances in continuum mechanics ;v. 49..

Periodic solutions of Hamiltonian systems with symmetries -- Prescribed energy periodic solutions of Kepler problems with relativistic corrections -- A survey on some existence results for the relativistic pendulum equation -- Recent advances on periodic motions in parallel-plate electrostatic actuators -- Analysis of a mathematical model of competition in a chain of periodic chemostats in series -- Nontrivial solutions of a parameter-dependent Nontrivial solutions of a parameter-dependent -- Branches of forced oscillations for a class of implicit equations involving the ��-Laplacian -- Atypical bifurcation for a class of delay differential equations -- New elements for a theory of chaos topology.

This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationally recognized researchers in the field, present results on problems of existence, multiplicity localization, bifurcation of solutions, and more. Topological methods are used throughout, including degree theory, fixed point index theory, and classical and recent fixed point theorems. A wide variety of applications to continuum mechanics are provided as well, such as chemostats, non-Newtonian fluid flow, and flows in phase space. Topological Methods for Delay and Ordinary Differential Equations will be a valuable resource for researchers interested in differential equations, functional analysis, topology, and the applied sciences.

ISBN: 9783031613371

Standard No.: 10.1007/978-3-031-61337-1doiSubjects--Topical Terms:

1366663
Continuum Mechanics.

LC Class. No.: QA371

Dewey Class. No.: 515.352

Topological methods for delay and ordinary differential equations = with applications to continuum mechanics /
LDR:02704nam a22003495a 4500 001 1135202
003 DE-He213
005 20240813130424.0
006 m d
007 cr nn 008maaau
008 241213s2024 sz s 0 eng d
020 $a 9783031613371 $q (electronic bk.)
020 $a 9783031613364 $q (paper)
024 7 $a 10.1007/978-3-031-61337-1 $2 doi
035 $a 978-3-031-61337-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA371
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.352 $2 23
090 $a QA371 $b .T675 2024
245 0 0 $a Topological methods for delay and ordinary differential equations $h [electronic resource] : $b with applications to continuum mechanics / $c edited by Pablo Amster, Pierluigi Benevieri.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2024.
300 $a xvi, 211 p. : $b ill., digital ; $c 24 cm.
347 $a text file $b PDF $2 rda
490 1 $a Advances in continuum mechanics, $x 2524-4647 ; $v v. 51
505 0 $a Periodic solutions of Hamiltonian systems with symmetries -- Prescribed energy periodic solutions of Kepler problems with relativistic corrections -- A survey on some existence results for the relativistic pendulum equation -- Recent advances on periodic motions in parallel-plate electrostatic actuators -- Analysis of a mathematical model of competition in a chain of periodic chemostats in series -- Nontrivial solutions of a parameter-dependent Nontrivial solutions of a parameter-dependent -- Branches of forced oscillations for a class of implicit equations involving the 𝚽-Laplacian -- Atypical bifurcation for a class of delay differential equations -- New elements for a theory of chaos topology.
520 $a This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationally recognized researchers in the field, present results on problems of existence, multiplicity localization, bifurcation of solutions, and more. Topological methods are used throughout, including degree theory, fixed point index theory, and classical and recent fixed point theorems. A wide variety of applications to continuum mechanics are provided as well, such as chemostats, non-Newtonian fluid flow, and flows in phase space. Topological Methods for Delay and Ordinary Differential Equations will be a valuable resource for researchers interested in differential equations, functional analysis, topology, and the applied sciences.
650 2 4 $a Continuum Mechanics. $3 1366663
650 1 4 $a Differential Equations. $3 681826
650 0 $a Continuum mechanics. $3 527691
650 0 $a Delay differential equations. $3 720340
700 1 $a Benevieri, Pierluigi. $3 1456851
700 1 $a Amster, Pablo. $3 1021376
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Advances in continuum mechanics ; $v v. 49. $3 1431763
856 4 0 $u https://doi.org/10.1007/978-3-031-61337-1
950 $a Mathematics and Statistics (SpringerNature-11649)