Monotone method for integrodifferential equation with periodic boundary conditions

DOI10.1080/00036818608839598zbMath0605.45007OpenAlexW1881206715WikidataQ58134963 ScholiaQ58134963MaRDI QIDQ3743827

Aghalaya S. Vatsala, Saroop K. Kaul

Publication date: 1986

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818608839598

zbMATH Keywords

comparison principleperiodic boundary value problemcontraction mapping theoremexistence of minimal and maximal solutions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Theoretical approximation of solutions to integral equations (45L05)

Related Items (10)

Periodic solutions for functional differential equations with infinite lead and delay ⋮ On monotone iterative method for periodic boundary value problems of nonlinear integro-differential equations ⋮ Existence theorems of extremal solutions for a class of nonlinear integro-differential equations ⋮ A homotopy method of finding periodic solutions for ordinary differential equations from the upper and lower solutions ⋮ Periodic boundary value problems (PBVP) for integro-differential equations of Volterra type in Banach spaces ⋮ Remarks on the periodic boundary value problems for integrodifferential equations of Volterra type ⋮ Periodic solutions for SDEs through upper and lower solutions ⋮ Periodic boundary value problems for first-order integro-differential equations of mixed type ⋮ PBVP of integrodifferential equations with Carathéodory functions ⋮ Periodic solutions for evolution equations

Cites Work

• Periodic boundary value problems of first and second order differential equations
• Fixed point theorems of operators with ppf dependence in banach spaces

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