Bifurcation of positive periodic solutions of first-order impulsive differential equations

DOI10.1186/1687-2770-2012-83zbMath1281.34031OpenAlexW2122090902WikidataQ59289888 ScholiaQ59289888MaRDI QIDQ384358

Bianxia Yang, Zhenyan Wang, Ru Yun Ma

Publication date: 27 November 2013

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-83

zbMATH Keywords

existencemultiplicitytopological degreeKrein-Rutman theorembifurcation from intervalimpulsive boundary value problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (2)

Periodic solutions of second order impulsive system for an integro-differential equations with maxima ⋮ Existence of periodic solutions and bifurcation points for generalized ordinary differential equations

Cites Work

• Multiplicity results using bifurcation techniques for a class of boundary value problems of impulsive differential equations
• Impulsive periodic boundary value problems of first-order differential equations
• Bifurcation from interval and positive solutions for second order periodic boundary value problems
• Positive solutions of periodic boundary value problems for nonlinear first-order impulsive differential equations
• Existence of solutions to first-order impulsive periodic boundary value problems
• Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem
• Periodic boundary value problems for first-order impulsive ordinary differential equations
• Periodic boundary value problem for first-order impulsive ordinary differential equations
• Multiplicity positive solutions to periodic problems for first-order impulsive differential equations
• Impulsive periodic solutions of first-order singular differential equations

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