Impulsive mild solutions for semilinear differential inclusions with nonlocal conditions in Banach spaces

DOI10.1016/j.na.2011.09.023zbMath1252.34068OpenAlexW2053715283MaRDI QIDQ651155

Paola Rubbioni, Tiziana Cardinali

Publication date: 8 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.09.023

zbMATH Keywords

fixed pointnonlocal conditionimpulseHausdorff measure of noncompactnesssemilinear differential inclusionlower Scorza-Dragoni property

Mathematics Subject Classification ID

Evolution inclusions (34G25) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (24)

An existence result for a new class of impulsive functional differential equations with delay ⋮ Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces ⋮ A class of impulsive differential variational inequalities in finite dimensional spaces ⋮ Measures of noncompactness in spaces of regulated functions with application to semilinear measure driven equations ⋮ Existence of mild solutions and controllability of fractional impulsive integrodifferential systems with nonlocal conditions ⋮ Non-autonomous evolution inclusions with nonlocal history conditions: global integral solutions ⋮ Unnamed Item ⋮ An existence result for nonlocal impulsive second-order Cauchy problems with finite delay ⋮ A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces ⋮ Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions ⋮ Existence and controllability results for nonlocal fractional impulsive differential inclusions in Banach spaces ⋮ Unnamed Item ⋮ Some results for impulsive fractional differential inclusions with infinite delay and sectorial operators in Banach spaces ⋮ A unified existence theory for evolution equations and systems under nonlocal conditions ⋮ Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order \(\alpha \in (1, 2)\) ⋮ The controllability of an impulsive integro-differential process with nonlocal feedback controls ⋮ On fractional heat equations with non-local initial conditions ⋮ Nonlocal problems for differential inclusions in Hilbert spaces ⋮ Unnamed Item ⋮ Differential equations and inclusions of fractional order with impulse effects in Banach spaces ⋮ NONLOCAL FRACTIONAL DIFFERENTIAL INCLUSIONS WITH IMPULSE EFFECTS AND DELAY ⋮ Unnamed Item ⋮ Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence results of semilinear differential equations with nonlocal initial conditions in Banach spaces
• Solvability of impulsive neutral evolution differential inclusions with state-dependent delay
• Continuous selections. I
• Existence results for semilinear differential equations with nonlocal and impulsive conditions
• Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces
• Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup
• Local mild solutions and impulsive mild solutions for semilinear Cauchy problems involving lower Scorza-Dragoni multifunctions
• Existence of positive solutions for multipoint boundary value problem on the half-line with impulses
• Impulsive problems for semilinear differential equations with nonlocal conditions
• Semigroups of linear operators and applications to partial differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Multivalued perturbations of \(m\)-accretive differential inclusions
• Measures of noncompactness in metric fixed point theory
• On a nonlocal problem for semilinear differential equations with upper semicontinuous nonlinearities in general Banach spaces
• On the existence of mild solutions of semilinear evolution differential inclusions
• Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
• Nonlocal cauchy problems and their controllability for semilinear differential inclusions with lower Scorza-Dragoni nonlinearities
• Existence of Solutions for Impulsive Neutral Integro-Differential Inclusions with Nonlocal Initial Conditions via Fractional Operators

This page was built for publication: Impulsive mild solutions for semilinear differential inclusions with nonlocal conditions in Banach spaces