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Existence and uniqueness of solutions for the second order periodic-integrable boundary value problem - MaRDI portal

Existence and uniqueness of solutions for the second order periodic-integrable boundary value problem (Q2401065)

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Existence and uniqueness of solutions for the second order periodic-integrable boundary value problem
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    Existence and uniqueness of solutions for the second order periodic-integrable boundary value problem (English)
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    31 August 2017
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    A periodic-integral boundary value problem for a second order differential equation is considered. Firstly, an auxiliary existence and uniqueness result for a linear equation is proved, then the obtained result is applied to investigate the existence of solutions to the nonlinear equation by Schauder's fixed point theorem.
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    periodic-integrable boundary value
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    existence and uniqueness
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    Schauder's fixed point theorem
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