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- W2551920008 abstract "In this paper, we investigate the existence of homoclinic solutions for a class of fourth‐order nonautonomous differential equations urn:x-wiley:mma:media:mma4230:mma4230-math-0001 where w is a constant, and . By using variational methods and the mountain pass theorem, some new results on the existence of homoclinic solutions are obtained under some suitable assumptions. The interesting is that a ( x ) and f ( x , u ) are nonperiodic in x , a does not fulfil the coercive condition, and f does not satisfy the well‐known ( A R )‐condition. Furthermore, the main result partly answers the open problem proposed by Zhang and Yuan in the paper titled with Homoclinic solutions for a nonperiodic fourth‐order differential equations without coercive conditions (see Appl. Math. Comput. 2015; 250:280–286). Copyright © 2016 John Wiley & Sons, Ltd." @default.
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- W2551920008 date "2016-11-14" @default.
- W2551920008 modified "2023-10-07" @default.
- W2551920008 title "Two homoclinic solutions for a nonperiodic fourth-order differential equation without coercive condition" @default.
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- W2551920008 doi "https://doi.org/10.1002/mma.4230" @default.
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