NONLINEAR INTERPOLATION AND BOUNDARY VALUE PROBLEMS

NONLINEAR INTERPOLATION AND BOUNDARY VALUE PROBLEMS

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This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation. In 1967, Andrzej Lasota and Zdzis¿aw Opial showed that, under suitable hypotheses, if solutions of a second-order nonlinear differential equation passing through two distinct points are unique, when they exist, then, in fact, a solution passing through two distinct points does exist. That result, coupled with the pioneering work of Philip Hartman on what was then called unrestricted n-parameter families, has stimul...