Qualitative Results for Nonlinear Integro-Dynamic Equations via Integral Inequalities

Böhner, Martin; Scindia, Pallavi S.; Tikare, Sanket

doi:10.1007/s12346-022-00636-4

Cited by 4 publications

(1 citation statement)

References 33 publications

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“…Then, Shah et al [25] generalized these results to the Ulam-type Bielecki stabilities of the Hammerstein and integro-dynamic systems (mixed) of nonlinear form on TSs with instantaneous impulses. Bohner et al [26,27] discussed some results regarding the firstorder nonlinear dynamic initial value problems and nonlinear integro-dynamic equations. Recently, Scindia et al [28] have published noteworthy findings concerning the Ulam stability of first-order nonlinear impulsive dynamic equations.…”

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confidence: 99%

Ulam Type Stability Results of Nonlinear Impulsive Volterra–Fredholm Integro-Dynamic Adjoint Equations on Time Scale

Shah,

Tikare,

Osman

2023

Mathematics

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This paper is dedicated to exploring the existence, uniqueness and Ulam stability analysis applied to a specific class of mathematical equations known as nonlinear impulsive Volterra Fredholm integro-dynamic adjoint equations within finite time scale intervals. The primary aim is to establish sufficient conditions that demonstrate Ulam stability for this particular class of equations on the considered time scales. The research methodology relies on the Banach contraction principle, Picard operator and extended integral inequality applicable to piecewise continuous functions on time scales. To illustrate the applicability of the findings, an example is provided.

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