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• W4313451036 abstract "Abstract Two main results of fixed point theory in infinite dimensional space are Schauder’s theorem and the contraction mapping principle. Krasnoselskii combined them into one fixed point result. In this paper, we continue the study of extensions of these theorems investigating a convex modular in a original vector space, not in modular space and without $$Delta _{2}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>Δ</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> condition, to provide certain extensions of Banach contraction principle and Krasnoselskii fixed point theorem. We applied that theorem to solve the nonlinear periodic problem of Hill’s equation." @default.
• W4313451036 created "2023-01-06" @default.
• W4313451036 creator A5016763910 @default.
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• W4313451036 date "2022-12-20" @default.
• W4313451036 modified "2023-09-27" @default.
• W4313451036 title "Fixed point theorems and periodic problems for nonlinear Hill’s equation" @default.
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• W4313451036 doi "https://doi.org/10.1007/s00030-022-00825-9" @default.
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