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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Second and third order boundary value problems


Author: Keith Schrader
Journal: Proc. Amer. Math. Soc. 32 (1972), 247-252
MSC: Primary 34B15
DOI: https://doi.org/10.1090/S0002-9939-1972-0291548-4
MathSciNet review: 0291548
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Abstract: In this paper some existence theorems for solutions on $ ( - \infty , + \infty )$ of second and third order differential equations of the form $ y'' = f(t,y,y')$ and $ y''' = f(t,y,y',y'')$ are established. The hypotheses include the assumption that f is continuous, that solutions of initial value problems extend to $ ( - \infty , + \infty )$ and that certain boundary value problems have no more than one solution.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0291548-4
Keywords: Nonlinear, boundary value problems, second order, third order
Article copyright: © Copyright 1972 American Mathematical Society