Periodic and Homoclinic Solutions of Extended Fisher–Kolmogorov Equations
نویسندگان
چکیده
منابع مشابه
Periodic and Homoclinic Solutions of Extended Fisher-Kolmogorov Equations
In this paper we study the existence of periodic solutions of the fourth-order equations u − pu′′ − a x u + b x u3 = 0 and u − pu′′ + a x u − b x u3 = 0, where p is a positive constant, and a x and b x are continuous positive 2Lperiodic functions. The boundary value problems P1 and P2 for these equations are considered respectively with the boundary conditions u 0 = u L = u′′ 0 = u′′ L = 0. Exi...
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The problem (1.4), which is closely related to the problem of periodic solutions, has constituted the object of numerous fundamental studies; last year, a systematic study based on the theory of topological degree has been drawn up by J. Mawhin [17, 18, 19, 20]. In the cited works the reader can find a rich bibliography in this field. On the other hand, the existence of solutions of (1.1) such ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2001
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7470