On a periodic boundary value problem for second-order linear functional differential equations.
Mukhigulashvili, S. (2005)
Boundary Value Problems [electronic only]
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Mukhigulashvili, S. (2005)
Boundary Value Problems [electronic only]
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Islam, M.N. (1988)
International Journal of Mathematics and Mathematical Sciences
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Daqing Jiang, Lingbin Kong (2001)
Annales Polonici Mathematici
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We describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) in the presence of a lower solution α(t) and an upper solution β(t) with β(t) ≤ α(t).
Aydin Huseynov (2011)
Applications of Mathematics
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In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.
Tadeusz Dłotko (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Kiguradze, I., Partsvania, N., Půža, B. (2008)
Boundary Value Problems [electronic only]
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Zu, Jian (2011)
Boundary Value Problems [electronic only]
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Yinggao Zhou, Min Wu (2010)
Applications of Mathematics
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The existence of positive periodic solutions for a kind of Rayleigh equation with a deviating argument is studied. Using the coincidence degree theory, some sufficient conditions on the existence of positive periodic solutions are obtained.