ON PERIODIC SOLUTIONS FOR FIRST-ORDER DIFFERENTIAL EQUATIONS INVOLVING THE DISTRIBUTIONAL HENSTOCK–KURZWEIL INTEGRAL

DOI10.1017/S0004972711003455zbMath1257.46017MaRDI QIDQ3167473

Xueyuan Zhou, Ying Wang, Guoju Ye, Wei Liu

Publication date: 2 November 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

fixed pointextremal solutionsperiodic boundary value problemdistributional Henstock-Kurzweil integraldistributional derivative

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Denjoy and Perron integrals, other special integrals (26A39) Boundary value problems for ordinary differential equations (34B99)

Related Items (2)

On the Darboux problem involving the distributional Henstock-Kurzweil integral ⋮ On first-order periodic boundary value problems and distributional Henstock-Kurzweil integrals

Cites Work

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• Existence and monotone method for periodic solutions of first-order differential equations
• Existence of solutions to first-order periodic boundary value problems
• Existence of periodic solutions for first order differential equations
• On the structure of the solution set for first order differential equations
• A fixed point theorem for function spaces
• 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

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