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- catalog abstract "The book deals with parameter dependent problems of the form u"+*f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u,*)-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solutions of the corresponding parabolic prob- lem) as well as possible orbit connections between them. The methods used also yield results for the period map of certain Hamiltonian systems in the plane. The book will be of interest to researchers working in ordinary differential equations, partial differential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations.".
- catalog contributor b3058285.
- catalog created "c1990.".
- catalog date "1990".
- catalog date "c1990.".
- catalog dateCopyrighted "c1990.".
- catalog description "Includes bibliographical references (p. 139-140) and index.".
- catalog description "The book deals with parameter dependent problems of the form u"+*f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u,*)-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solutions of the corresponding parabolic prob- lem) as well as possible orbit connections between them. The methods used also yield results for the period map of certain Hamiltonian systems in the plane. The book will be of interest to researchers working in ordinary differential equations, partial differential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations.".
- catalog extent "xvii, 140 p. :".
- catalog hasFormat "Global solution branches of two point boundary value problems.".
- catalog identifier "0387535144 :".
- catalog identifier "3540535144 :".
- catalog isFormatOf "Global solution branches of two point boundary value problems.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1458.".
- catalog isPartOf "Lecture notes in mathematics ; 1458".
- catalog issued "1990".
- catalog issued "c1990.".
- catalog language "eng".
- catalog publisher "Heidelberg ; New York : Springer-Verlag,".
- catalog relation "Global solution branches of two point boundary value problems.".
- catalog subject "510 s 515/.35 20".
- catalog subject "Bifurcation theory.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "Nonlinear boundary value problems.".
- catalog subject "QA3 .L28 no. 1458 QA379".
- catalog title "Global solution branches of two point boundary value problems / Renate Schaaf.".
- catalog type "text".