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Articles by Syed K Abbas
Approximation of abstract nonautonomous delay dynamic equation on Banach space and hybrid domains
We investigate the approximation of mild solutions to nonautonomous-semilinear first-order abstract delayed dynamic equations on time-scales. These equations are defined within a Banach space B and evolve under the influence of a closed linear operator (possibly unbounded), which generates an evolution operator. This involves the mild solutions of a family of dynamic equations with piecewise constant arguments, where the semilinear term is perturbed by a parameter ϵ.
Square-mean S -asymptotically (ω, c )-periodic solutions of second-order impulsive equations with fractional Brownian motion
In this paper, we investigate the existence of square-mean S-asymptotically -periodic solutions for a class of second-order neutral stochastic impulsive differential equations driven by fractional Brownian motion. The model under our consideration incorporates long-range dependence, neutral delays, impulsive perturbations, and arises naturally in stochastic control problems.
Inverse Coefficient Problems for Dynamic Equations on Time Scales
In this article, we have worked toward developing the theory for the inverse coefficient problems on an arbitrary time scale. We considered a general th order linear dynamic equation on arbitrary time scale . We investigated inverse problems of determining the regressive coefficients and when one or more solutions are known or some additional information regarding the solution is provided. We proved the existence and uniqueness of results for well-posed problems.
Mathematical analysis and optimal control of age‐structured social interaction model with law enforcement
CONFLICT OF INTEREST STATEMENT Authors declare no conflicts of interest. REFERENCES 1, Crime and punishment: an economic approach, J. Polit. Econ. 76 (1968), 169–217. 2 and , Analysis of diffusive size-structured population model with stochastic perturbation, Differ. Integral Equ. 35 (2022), 641–658. 3, , and , Analysis of diffusive size-structured population model and optimal birth control, Evol. Equ. Control Theory 12 (2023), 423–445.
Periodicity, stability, and synchronization of solutions of hybrid coupled dynamic equations with multiple delays
Corresponding Author Syed Abbas School of Mathematical and Statistical Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh, India Correspondence Syed Abbas, School of Mathematical and Statistical Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh 175005, India. Email: abbas@iitmandi.ac.in Communicated by: R. P.
Detachable laparoscopic bulldog clamp in laparoscopic assisted colonoscopic polypectomy - video vignette
Minimising unnecessary morbidity is the duty of any surgeons caring for patients. The treatment of difficult colonic polyps is no exception to this rule. It should not be a surprise that in the early 1990s when minimally invasive surgery was on its rise, laparoscopic-assisted colonoscopic polypectomy was first described [1]. Laparoscopic atraumatic cross clamping of the bowel proximal to the polyp site is useful in order to prevent small bowel distention impairing the laparoscopic view.
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