On the existence of nonnegative solutions of the periodic boundary value problem for a system of linear generalized ordinary differential equations.
Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Sahbi Boussandel (2018)
Applications of Mathematics
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We establish the existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions. The energies associated to these evolution equations are quadratic forms. Our approach is based on application of the Schaefer fixed-point theorem combined with the continuity method.
Ashordia, M. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Badii, M., Díaz, J.I. (2010)
Boundary Value Problems [electronic only]
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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.