Semilinear evolution equations with distributed measures
DOI10.1186/s13663-015-0392-4zbMath1338.37115OpenAlexW1862220303WikidataQ59430194 ScholiaQ59430194MaRDI QIDQ288031
Adrian Petruşel, Bianca-Renata Satco
Publication date: 24 May 2016
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13663-015-0392-4
fixed pointstrongly continuous semigroupmild solutionMönch fixed point theoremKurzweil-Stieltjes integralregulated functionsemilinear evolution problem with distributed measureuniformly continuous semigroup
One-parameter semigroups and linear evolution equations (47D06) Fixed-point theorems (47H10) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Nonlinear evolution equations (47J35) Equations in function spaces; evolution equations (58D25)
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Cites Work
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- Measure functional differential equations and functional dynamic equations on time scales
- Convergence theorems for HL integrable vector-valued functions with applications
- A new result on impulsive differential equations involving non-absolutely convergent integrals
- Semigroups of linear operators and applications to partial differential equations
- The Henstock integral for Banach-valued functions
- Impulsive retarded differential equations in Banach spaces via Bochner-Lebesgue and Henstock integrals
- On functions of bounded semivariation
- Finite semivariation and regulated functions by means of bilinear maps.
- Generalized linear differential equations in a Banach space: continuous dependence on a parameter
- Simply regulated functions and semivariation in uniformly convex spaces
- Measure of noncompactness and semilinear nonlocal functional differential equations in Banach spaces
- Existence of solutions for semilinear measure driven equations
- Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
- A note on integration by parts for abstract Perron-Stieltjes integrals
- Substitution formulas for the Kurzweil and Henstock vector integrals
- Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
- Compactness of the solution operator for a linear evolution equation with distributed measures