Read e-book online The Nonlinear Limit-Point/Limit-Circle Problem PDF

By Miroslav Bartusek,Zuzana Dosla,John R. Graef

ISBN-10: 0817635629

ISBN-13: 9780817635626

This self-contained monograph lines the evolution of the limit–point/limit–circle challenge from its 1910 inception, in a paper via Hermann Weyl, to its modern day extensions to the asymptotic research of nonlinear differential equations. The authors distill the classical theorems within the linear case and punctiliously map the development from linear to nonlinear limit–point effects. the connection among the limit–point/limit–circle houses and the boundedness, oscillation, and convergence of suggestions is explored, and within the ultimate bankruptcy, the relationship among limit–point/limit–circle difficulties and spectral thought is tested intimately. With over one hundred twenty references, many open difficulties, and illustrative examples, this paintings might be invaluable to graduate scholars and researchers in differential equations, useful research, operator thought, and similar fields.

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The Nonlinear Limit-Point/Limit-Circle Problem by Miroslav Bartusek,Zuzana Dosla,John R. Graef

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