Existence of the mild solution for impulsive semilinear differential equation

DOI10.1155/2014/640931zbMath1302.34096OpenAlexW2040832735WikidataQ59050441 ScholiaQ59050441MaRDI QIDQ457919

Alka Chadha, Dwijendra Narain Pandey

Publication date: 30 September 2014

Published in: International Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/640931

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (2)

PC-mild solutions to Sobolev-type fractional differential equations with non-instantaneous impulses ⋮ Asymptotic stability of neutral impulsive stochastic partial differential equation of Sobolev type with Poisson jumps

Cites Work

• Existence results of semilinear differential equations with nonlocal initial conditions in Banach spaces
• Existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators
• On the application of measure of noncompactness to the existence of solutions for fractional differential equations
• Existence results for semilinear differential equations with nonlocal and impulsive conditions
• Existence of solutions for impulsive partial neutral functional differential equations
• Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces
• Existence results for impulsive neutral differential and integrodifferential equations with nonlocal conditions via fractional operators
• Semigroups of linear operators and applications to partial differential equations
• Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses
• Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations
• Nonlinear differential equations with nonlocal conditions in Banach spaces
• On a new class of abstract impulsive differential equations
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