On first-order periodic boundary value problems and distributional Henstock-Kurzweil integrals

DOI10.1186/1687-2770-2014-54zbMath1320.34032OpenAlexW2105049061WikidataQ59324049 ScholiaQ59324049MaRDI QIDQ472288

Tianqing An, Guoju Ye, Wei Liu

Publication date: 19 November 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-54

zbMATH Keywords

fixed pointupper and lower solutionsextremal solutionsperiodic boundary value problemdistributional Henstock-Kurzweil integraldistributional derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20)

Related Items (1)

The continuous primitive integral in the plane

Cites Work

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• Existence of solutions of the wave equation involving the distributional Henstock-Kurzweil integral.
• Existence and monotone method for periodic solutions of first-order differential equations
• The distributional Denjoy integral
• Convolutions with the continuous primitive integral
• A multidimensional analogue of the Denjoy-Perron-Henstock-Kurzweil integral
• ON PERIODIC SOLUTIONS FOR FIRST-ORDER DIFFERENTIAL EQUATIONS INVOLVING THE DISTRIBUTIONAL HENSTOCK–KURZWEIL INTEGRAL
• The topology of the space of Denjoy integrable functions
• Remarks on first and second order periodic boundary value problems
• A Full Descriptive Definition of the Henstock–Kurzweil Integral in the Euclidean Space
• Existence and multiplicity results for periodic solutions of nonlinear difference equations

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