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The Nonlinear Limit-Point/Limit-Circle Problem
Paperback
ISBN13: 9780817635626
Publisher: Springer Nature
Published: Dec 17 2003
Pages: 162
Weight: 0.56
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English
This self-contained monograph traces the evolution of the limit-point/limit-circle problem from its 1910 inception, in a paper by Hermann Weyl, to its modern-day extensions to the asymptotic analysis of nonlinear differential equations. The authors distill the classical theorems in the linear case and carefully map the progress from linear to nonlinear limit-point results. The relationship between the limit-point/limit-circle properties and the boundedness, oscillation, and convergence of solutions is explored, and in the final chapter, the connection between limit-point/limit-circle problems and spectral theory is examined in detail. With over 120 references, many open problems, and illustrative examples, this work will be valuable to graduate students and researchers in differential equations, functional analysis, operator theory, and related fields.
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