Stability analysis of causal integral evolution impulsive systems on time scales
DOI10.1007/s10473-021-0310-2OpenAlexW3155543316MaRDI QIDQ2155575
Jiafa Xu, Syed Omar Shah, Akbar Zada, Bakhtawar Pervaiz
Publication date: 15 July 2022
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10473-021-0310-2
impulsestime scaledynamic systemGronwall's inequalityUlam-Hyers stabilitysemilinear nonautonomous system
Integro-ordinary differential equations (45J05) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70) Perturbations of functional-differential equations (34K27) Functional-differential equations on time scales or measure chains (34K42)
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Cites Work
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- A uniform method to Ulam-Hyers stability for some linear fractional equations
- Stability of abstract dynamic equations on time scales
- Existence of almost periodic solutions for strongly stable nonlinear impulsive differential-difference equations
- Ulam's type stability of impulsive ordinary differential equations
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Hyers-Ulam stability of linear differential equations of second order
- Nonanticipating dynamical model and optimal control
- Abstract Volterra operators
- On some inequalities and stability results related to the exponential function
- Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces
- Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses
- Ulam's-type stability of first-order impulsive differential equations with variable delay in quasi-Banach spaces
- Hyers-Ulam stability of non-autonomous systems in terms of boundedness of Cauchy problems
- Stability for time varying linear dynamic systems on time scales
- Hyers-Ulam stability of linear differential equations of first order.
- A spectral characterization of exponential stability for linear time-invariant systems on time scales
- Controlled functional differential equations and adaptive tracking.
- The set of solutions for abstract Volterra equations in \(L^p([0,a,\mathbb{R}^m)\)]
- Linear impulsive Volterra integro-dynamic system on time scales
- Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type
- Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with \(p\)-Laplacian
- Ulam-Hyers stability of impulsive integrodifferential equations with Riemann-Liouville boundary conditions
- Existence and stability results for generalized fractional differential equations
- Existence, uniqueness and stability of solution to mixed integral dynamic systems with instantaneous and noninstantaneous impulses on time scales
- Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales
- Analysis of nonlinear coupled systems of impulsive fractional differential equations with Hadamard derivatives
- A class of nonlinear differential equations with fractional integrable impulses
- \(\beta\)-Hyers-Ulam-Rassias stability of semilinear nonautonomous impulsive system
- Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type
- Existence and stability of impulsive coupled system of fractional integrodifferential equations
- Ulam-Hyers stability of dynamic equations on time scales via Picard operators
- Stability analysis for a general class of non-instantaneous impulsive differential equations
- Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives
- Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses
- ALMOST PERIODIC SOLUTIONS OF IMPULSIVE INTEGRO‐DIFFERENTIAL NEURAL NETWORKS
- A fixed point approach to the stability of a nonlinear volterra integrodifferential equation with delay
- Nonlinear impulsive Langevin equation with mixed derivatives
- On the stability of first order impulsive evolution equations
- On the Stability of the Linear Mapping in Banach Spaces
- Stability analysis of higher order nonlinear differential equations in β–normed spaces
- Stability Analysis of nth Order Nonlinear Impulsive Differential Equations in Quasi–Banach Space
- Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem
- Evolution equations with causal operators
- Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses
- Hyers-Ulam stability of nonlinear impulsive Volterra integro-delay dynamic system on time scales
- On the Stability of the Linear Functional Equation
- Existence criteria for integral equations in Banach spaces