A periodicity result for a nonlinear function integral equation

DOI10.1007/BF00160530zbMath0754.45007MaRDI QIDQ1193309

Abdessamad Mortabit, Ovide Arino

Publication date: 27 September 1992

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviornonnegative solutionperiodic solutioncell proliferationnonlinear functional integral equationejective fixed pointslow oscillationsnonlinear integral equation with delay

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Periodic solutions of integral equations (45M15) Asymptotics of solutions to integral equations (45M05) Physiological, cellular and medical topics (92C99) Positive solutions of integral equations (45M20)

Cites Work

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• Asymptotic behavior of a nonlinear functional-integral equation of cell kinetics with unequal division
• The existence of periodic solutions of \(f'(x)=-\alpha f(x-1)(1+f(x))\)
• Periodic solutions of difference-differential equations
• Periodic solutions of a nonlinear second order differential equation with delay
• Existence of periodic solutions of autonomous functional differential equations
• Periodic solutions of some nonlinear, autonomous functional differential equations. II
• A further generalization of the Schauder fixed point theorem
• A periodicity theorem for autonomous functional differential equations
• Asymptotic Analysis of a Cell Cycle Model Based on Unequal Division
• Periodic solutions of special differential equations: an example in non-linear functional analysis
• Functional differential equations

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