Periodic solutions of second-order differential inclusions systems with p-Laplacian
نویسندگان
چکیده
منابع مشابه
PERIODIC SOLUTIONS OF SECOND-ORDER DIFFERENTIAL INCLUSIONS SYSTEMS WITH p–LAPLACIAN
Some existence results are obtained for periodic solutions of nonautonomous second-order differential inclusions systems with p–Laplacian.
متن کاملInfinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian
* Correspondence: [email protected] School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P. R. China Abstract In this article, we investigate the existence of infinitely many periodic solutions for some nonautonomous second-order differential systems with p(t)-Laplacian. Some multiplicity results are obtained using critical point theory. 2...
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A new existence result is obtained for nonautonomous second order Hamiltonian systems with (q, p)-Laplacian by using the minimax methods.
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In this paper, by using the least action principle, Sobolev’s inequality and Wirtinger’s inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
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We find sufficient conditions for the existence of global solutions for the systems of functional-differential equations ` A(t)Φp(y ′) ́′ + B(t)g(y′, y′ t) + R(t)f(y, yt) = e(t), where Φp(u) = (|u1|p−1u1, . . . , |un|p−1un)T which is the multidimensional p-Laplacian.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.01.061