A Cauchy Problem on Time Scales with Applications
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Publication:2919597
DOI10.2478/v10157-011-0016-1zbMath1265.28029OpenAlexW2006222136MaRDI QIDQ2919597
Publication date: 4 October 2012
Published in: Annals of the Alexandru Ioan Cuza University - Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/v10157-011-0016-1
Functional-differential equations with impulses (34K45) Vector-valued set functions, measures and integrals (28B05) Discrete version of topics in analysis (39A12) Denjoy and Perron integrals, other special integrals (26A39) Real analysis on time scales or measure chains (26E70)
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Cites Work
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- Impulsive nonlocal differential equations through differential equations on time scales
- On integrals of vector-valued functions on time scales
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- On \(x'=f(t,x)\) and Henstock-Kurzweil integrals
- Henstock-Kurzweil delta and nabla integrals
- Weak solutions for the dynamic Cauchy problem in Banach spaces
- A note on Peano's theorem 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
- Krasnosel'skii type fixed point theorems under weak topology features
- On Kurzweil generalized ordinary differential equations
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- The Henstock integral for Banach-valued functions
- Integration on time scales.
- Impulsive retarded differential equations in Banach spaces via Bochner-Lebesgue and Henstock integrals
- Integrodifferential equations on time scales with Henstock-Kurzweil-Pettis delta integrals
- On functional improper Volterra integral equations and impulsive differential equations in ordered Banach spaces
- Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
- Inequalities on Time Scales: A Survey
- Generalized ordinary differential equations and continuous dependence on a parameter
- Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
- Exponential stability of the solutions of the initial value problem for systems with an impulse effect
- On representation of linear operators on $C_0(T,{\bf X})$
