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Multiple Solutions And Bifurcation For A Class Of Nonlinear Sturm Liouville Eigenvalue Problems On An Unbounded Domain
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Book Synopsis Multiple Solutions and Bifurcation for a Class of Nonlinear Sturm- Liouville Eigenvalue Problems on an Unbounded Domain by : Chao-Nien Chen
Download or read book Multiple Solutions and Bifurcation for a Class of Nonlinear Sturm- Liouville Eigenvalue Problems on an Unbounded Domain written by Chao-Nien Chen and published by . This book was released on 1988 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: A class of nonlinear Sturm-Liouville problems is considered. These problems admit zero as a trivial solution and the nonlinear operator linearized about zero has a purely continuous spectrum 0, INFINITY). Variational methods and approximation arguments are used to obtain the existence of nontrivial solutions with any prescribed number of nodes and for some nonlinearities it is shown that this solution is unique. Moreover, the lowest point of the continuous spectrum is bifurcation point; infinitely many continua of solutions, which are distinguished by nodal properties, bifurcate from the line of trivial solutions at this point. Results are also obtained in higher dimensions via investigation of the set of radial solutions of appropriate partial differential equations. Keywords: Nodes; Ordinary differential equations; Boundary value problems. (KR).
Book Synopsis Scientific and Technical Aerospace Reports by :
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Book Synopsis Government Reports Announcements & Index by :
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Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society
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Book Synopsis Differential Equations and Applications by : A. Reza Aftabizadeh
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Book Synopsis Bifurcation and Nonlinear Eigenvalue Problems by : C. Bardos
Download or read book Bifurcation and Nonlinear Eigenvalue Problems written by C. Bardos and published by Springer. This book was released on 2006-11-14 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Index to American Doctoral Dissertations by :
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Book Synopsis A Class of Nonlinear Sturm-Liouville Problems with Infinitely Many Solutions by : R. Schaaf
Download or read book A Class of Nonlinear Sturm-Liouville Problems with Infinitely Many Solutions written by R. Schaaf and published by . This book was released on 1986 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Book Synopsis Bifurcation and Nonlinear Eigenvalue Problems by : Claude Bardos
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Book Synopsis Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews by :
Download or read book Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt:
