Mild solution for an impulsive non-autonomous neutral differential equation with a deviated argument

DOI10.1007/s12215-018-0330-5zbMath1444.34085OpenAlexW2795211857WikidataQ115377000 ScholiaQ115377000MaRDI QIDQ1632033

Alka Chadha, Dhirendra Bahuguna

Publication date: 12 December 2018

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-018-0330-5

zbMATH Keywords

impulsive differential equationBanach fixed point theoremcompact analytic semigroupdifferential equation with deviated argument

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20) Nonautonomous smooth dynamical systems (37C60) Fractional partial differential equations (35R11)

Related Items (1)

Local and global existence and uniqueness of solution for abstract differential equations with state-dependent argument

Cites Work

• Controllability of the semilinear heat equation with impulses and delay on the state
• Non-autonomous evolution inclusions with nonlocal history conditions: global integral solutions
• Existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators
• Existence results for semilinear differential equations with nonlocal and impulsive conditions
• Existence of periodic solutions for abstract neutral nonautonomous equations with infinite delay
• Solutions to non-autonomous integrodifferential equations with infinite delay
• Semigroups of linear operators and applications to partial differential equations
• Global attractivity of a discrete Lotka-Volterra competition system with infinite delays and feedback controls
• Nonlinear abstract differential equations with deviated argument
• Approximate controllability of semilinear impulsive evolution equations
• Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces
• Existence of solutions to neutral differential equations with deviated argument
• Volterra Integral Equations in Banach Space
• Existence results for impulsive differential inclusions with nonlocal conditions
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