Eigenfunction Branches of Nonlinear Operators, and their Bifurcations
Pimbley, George H.
Eigenfunction Branches of Nonlinear Operators, and their Bifurcations [electronic resource] / by George H. Pimbley. - II, 131 p. online resource. - Lecture Notes in Mathematics, 104 0075-8434 ; . - Lecture Notes in Mathematics, 104 .
An example -- The extension of branches of solutions for nonlinear equations in Banach spaces -- Development of branches of solutions for nonlinear equations near an exceptional point. Bifurcation theory -- Solution of the bifurcation equation in the case n=1; bifurcation at the origin -- The eigenvalue problem; hammerstein operators; sublinear and superlinear operators; oscillation kernels -- On the extension of branches of eigenfunctions; conditions preventing secondary bifurcation of branches -- Extension of branches of eigenfunctions of Hammerstein operators -- The example of section 1, reconsidered -- A two-point boundary value problem -- Summary; collection of hypotheses; unsettled questions.
9783540361473
10.1007/BFb0065819 doi
Mathematics.
Mathematics, general.
QA1-939
510
Eigenfunction Branches of Nonlinear Operators, and their Bifurcations [electronic resource] / by George H. Pimbley. - II, 131 p. online resource. - Lecture Notes in Mathematics, 104 0075-8434 ; . - Lecture Notes in Mathematics, 104 .
An example -- The extension of branches of solutions for nonlinear equations in Banach spaces -- Development of branches of solutions for nonlinear equations near an exceptional point. Bifurcation theory -- Solution of the bifurcation equation in the case n=1; bifurcation at the origin -- The eigenvalue problem; hammerstein operators; sublinear and superlinear operators; oscillation kernels -- On the extension of branches of eigenfunctions; conditions preventing secondary bifurcation of branches -- Extension of branches of eigenfunctions of Hammerstein operators -- The example of section 1, reconsidered -- A two-point boundary value problem -- Summary; collection of hypotheses; unsettled questions.
9783540361473
10.1007/BFb0065819 doi
Mathematics.
Mathematics, general.
QA1-939
510