The local formula of representation of a solution for a functional differential equation with the mixed initial condition considering perturbations of delays containing in the phase coordinates and in controls
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Lela Alkhazishvili
und
Medea Iordanishvili
Abstract
For the perturbed controlled nonlinear delay functional differential equation with the mixed initial condition a formula of the analytic representation of solution is proved in the left neighborhood of the endpoint of main interval. In the formula the effects of perturbations of the delay parameters containing in the phase coordinates and controls, the initial vector, the initial and control functions are detected.
References
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- The local formula of representation of a solution for a functional differential equation with the mixed initial condition considering perturbations of delays containing in the phase coordinates and in controls
- On a Robin type problem involving 𝑝(𝑥)-Laplacian operator
- On the splitting type of holomorphic vector bundles induced from regular systems of differential equation
- On inclusion properties of discrete Morrey spaces
- Infinitely many solutions for nonlocal elliptic systems in Orlicz–Sobolev spaces
- Critical points approaches to a nonlocal elliptic problem driven by 𝑝(𝑥)-biharmonic operator
- On the maximal operators of weighted Marcinkiewicz type means of two-dimensional Walsh–Fourier series
- Several characterizations of Bessel functions and their applications
- The incomplete exponential pRp (α,β;z) function with applications
- Higher integrability and reverse Hölder inequalities in the limit cases
- When are multiplicative semi-derivations additive?
- On a structure of the set of positive solutions to second-order equations with a super-linear non-linearity
- Modulus of continuity and convergence of subsequences of Vilenkin–Fejér means in martingale Hardy spaces
Artikel in diesem Heft
- Frontmatter
- The local formula of representation of a solution for a functional differential equation with the mixed initial condition considering perturbations of delays containing in the phase coordinates and in controls
- On a Robin type problem involving 𝑝(𝑥)-Laplacian operator
- On the splitting type of holomorphic vector bundles induced from regular systems of differential equation
- On inclusion properties of discrete Morrey spaces
- Infinitely many solutions for nonlocal elliptic systems in Orlicz–Sobolev spaces
- Critical points approaches to a nonlocal elliptic problem driven by 𝑝(𝑥)-biharmonic operator
- On the maximal operators of weighted Marcinkiewicz type means of two-dimensional Walsh–Fourier series
- Several characterizations of Bessel functions and their applications
- The incomplete exponential pRp (α,β;z) function with applications
- Higher integrability and reverse Hölder inequalities in the limit cases
- When are multiplicative semi-derivations additive?
- On a structure of the set of positive solutions to second-order equations with a super-linear non-linearity
- Modulus of continuity and convergence of subsequences of Vilenkin–Fejér means in martingale Hardy spaces
