Asymptotic behavior of solutions to on for

Author:
Jeanne Trubek

Journal:
Proc. Amer. Math. Soc. **106** (1989), 953-959

MSC:
Primary 35B40; Secondary 35J60

DOI:
https://doi.org/10.1090/S0002-9939-1989-0987615-2

MathSciNet review:
987615

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Abstract: The equation is considered in for a Hölder continuous function and a positive constant. If for , we determine the asymptotic behavior of bounded solutions. In the case is nonpositive and is greater than one, we show that the first term in the asymptotic description may be chosen arbitrarily.

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DOI:
https://doi.org/10.1090/S0002-9939-1989-0987615-2

Article copyright:
© Copyright 1989
American Mathematical Society