The Nonlinear Limit-Point/Limit-Circle Problem (Paperback, 2004 ed.)

The book opens with a discussion of the problem in the linear case, as Weyl originally stated it, and then proceeds to a generalization for nonlinear higher-order equations. En route, the authors distill the classical theorems for second and higher-order linear equations, and carefully map the progression to nonlinear limita "point results. The relationship between the limita "point/limita "circle properties and the boundedness, oscillation, and convergence of solutions is explored, and in the final chapter, the connection between limita "point/limita "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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