Multiple solutions of nonlinear boundary value problems and topological degree
Rachůnková, Irena
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Rachůnková, Irena
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Jan Draessler (2004)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In the paper we consider the impulsive periodic boundary value problem with a general linear left hand side. The results are based on the topological degree theorems for the corresponding operator equation on a certain set that is established using properties of strict lower and upper functions of the boundary value problem.
Tadeusz Dłotko (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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).
Ma, Ruyun, Gao, Chenghua, Chen, Ruipeng (2010)
Boundary Value Problems [electronic only]
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Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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