Quasi-solutions of nonlinear impulsive equations in abstract cones

DOI10.1080/00036818908839897zbMath0662.34015OpenAlexW2086562385WikidataQ58252043 ScholiaQ58252043MaRDI QIDQ3810945

Lynn H. Erbe, Xinzhi Liu

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00036818908839897

zbMATH Keywords

impulsive differential equationminimal quasi-solutionabstract conesimpulsive Volterra integral equationmaximal quasi-solutions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34)

Related Items (12)

Multiple positive solutions of boundary-value problems for impulsive differential equations ⋮ A class of \(n^{\text{th}}\)-order impulsive integrodifferential equations in Banach spaces. ⋮ Multiple positive solutions of a boundary value problem for \(n\)th-order impulsive integro-differential equations in a Banach space. ⋮ Multiple solutions for sub-linear impulsive three-point boundary value problems ⋮ Multiplicity results via topological degree for impulsive boundary value problems under non-well-ordered upper and lower solution conditions ⋮ Mixed monotone iterative technique for a class of semilinear impulsive evolution equations in Banach spaces ⋮ Multiple positive solutions for \(n\)th-order impulsive integro-differential equations in Banach spaces ⋮ Extremal solutions for \(n\)th-order impulsive integro-differential equations on the half-line in Banach spaces ⋮ Monotone iterative method for abstract impulsive integro-differential equations with nonlocal conditions in Banach spaces. ⋮ On the initial value problems of first order impulsive differential systems ⋮ A initial value problems for first-order impulsive differential equations in Banach spaces ⋮ Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in Banach spaces

Cites Work

• Ordinary differential equations in Banach spaces
• Volterra integral and differential equations
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