Monotone iterative technique for the initial value problems of impulsive evolution equations in ordered Banach spaces

DOI10.1155/2010/481648zbMath1235.34211OpenAlexW2169474860WikidataQ58649863 ScholiaQ58649863MaRDI QIDQ1957584

He Yang

Publication date: 27 September 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/481648

zbMATH Keywords

evolution equationmeasure of noncompactnessmonotone iterative techniqueupper and lower solution

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Applications of operator theory to differential and integral equations (47N20)

Related Items (4)

Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions ⋮ Monotone iterative technique for the elastic systems with structural damping in Banach spaces ⋮ Perturbation results and monotone iterative technique for fractional evolution equations ⋮ Monotone iterative technique for fractional evolution equations in Banach spaces

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Fixed points of increasing operators in ordered Banach spaces and applications
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