Second-order nonlinear differential equations with infinite set of periodic solutions
نویسندگان
چکیده
منابع مشابه
Almost Periodic Solutions of Second Order Nonlinear Differential Equations with Almost Periodic Forcing
متن کامل
ON THE PERIODIC SOLUTIONS OF A CLASS OF nTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS *
The nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. Using the Leray-Schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.
متن کاملPeriodic solutions of second-order differential equations with multiple delays
* Correspondence: [email protected] School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, P. R. China Full list of author information is available at the end of the article Abstract By using the critical point theory and S index theory, we obtain a new result for the existence and multiplicity of periodic solutions for a class of second-order...
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متن کاملPositive Solutions of Second Order Nonlinear Differential Equations with Periodic Boundary Value Conditions
Criteria are established for existence of positive solutions to the second order periodic boundary value problem −u(t) + pu(t) + p1u(t) = f(t, u), t ∈ I = [0, T ], u(0) = u(T ), u(0) = u(T ), where p ∈ R and p1 ≥ 0. The discussion is based on the fixed point index theory in cones. AMS Subject Classification: 34B18
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ژورنال
عنوان ژورنال: Nonlinear Oscillations
سال: 2008
ISSN: 1536-0059
DOI: 10.1007/s11072-009-0047-7