Existence and uniqueness of classical and mild solutions of generalized impulsive evolution equation

DOI10.1515/ijnsns-2018-0042zbMath1461.34029OpenAlexW2899005742MaRDI QIDQ1627917

Y. Aharonov

Publication date: 3 December 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0042

zbMATH Keywords

semigroupdifferential equationsclassical solutionmild solutionimpulsive conditions

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20)

Related Items (3)

Optimal control of Clarke subdifferential type fractional differential inclusion with non-instantaneous impulses driven by Poisson jumps and its topological properties ⋮ Impulse null approximate controllability for heat equation with dynamic boundary conditions ⋮ Stability analysis of state‐triggered impulsive boolean networks based on a hybrid index model

Cites Work

• Mixed monotone iterative technique for a class of semilinear impulsive evolution equations in Banach spaces
• Existence results for semilinear differential equations with nonlocal and impulsive conditions
• A general class of nonlinear impulsive integral differential equations and optimal controls on Banach spaces
• Semigroups of linear operators and applications to partial differential equations
• Nonlinear impulse evolution systems and applications to population models
• Strongly nonlinear impulsive evolution equations and optimal control
• Perturbation method for nonlocal impulsive evolution equations
• Advanced functional evolution equations and inclusions
• Variational approach to impulsive evolution equations
• Nonlocal impulsive problems for nonlinear differential equations in Banach spaces
• Comparison principles for impulsive parabolic equations with applications to models of single species growth
• Analysis and design of impulsive control systems
• Comparison results for systems of impulse parabolic equations with applications to population dynamics
• Population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population
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