Local variation formulas of solutions for nonlinear controlled functional differential equations with constant delays and the discontinuous initial condition
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Tea Shavadze
Abstract
For the nonlinear controlled functional differential equations with several constant delays, the local variation formulas of solutions are proved, in which the effects of the discontinuous initial condition and perturbations of delays and the initial moment are detected.
Funding source: Shota Rustaveli National Science Foundation
Award Identifier / Grant number: PhD-F-17-89
Funding statement: This work is supported by the Shota Rustaveli National Science Foundation, Grant no. PhD-F-17-89.
References
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Stabilization of 3D Navier–Stokes–Voigt equations
- On weakly 2-absorbing δ-primary ideals of commutative rings
- General Tauberian theorems for the Cesàro integrability of functions
-
- From simplicial homotopy to crossed module homotopy in modified categories of interest
- Riesz potential in the local Morrey–Lorentz spaces and some applications
- Some remarks on Sierpiński–Zygmund functions in the strong sense
- Weighted grand mixed-norm Lebesgue spaces and boundedness criteria for integral operators
- Solution of the Ulam stability problem for Euler–Lagrange k-quintic mappings
- Construction of Green’s functional for a third order ordinary differential equation with general nonlocal conditions and variable principal coefficient
- The method of finite differences for nonlinear functional differential equations of the first order
- Local variation formulas of solutions for nonlinear controlled functional differential equations with constant delays and the discontinuous initial condition
- Solutions to Neumann boundary value problems with a generalized 𝑝-Laplacian
- Off-diagonal extrapolation on mixed variable Lebesgue spaces and its applications to strong fractional maximal operators
- The Arnon bases in the Steenrod algebra
- Inner functions as multipliers and zero sets in weighted Dirichlet spaces
Artikel in diesem Heft
- Frontmatter
- Stabilization of 3D Navier–Stokes–Voigt equations
- On weakly 2-absorbing δ-primary ideals of commutative rings
- General Tauberian theorems for the Cesàro integrability of functions
-
- From simplicial homotopy to crossed module homotopy in modified categories of interest
- Riesz potential in the local Morrey–Lorentz spaces and some applications
- Some remarks on Sierpiński–Zygmund functions in the strong sense
- Weighted grand mixed-norm Lebesgue spaces and boundedness criteria for integral operators
- Solution of the Ulam stability problem for Euler–Lagrange k-quintic mappings
- Construction of Green’s functional for a third order ordinary differential equation with general nonlocal conditions and variable principal coefficient
- The method of finite differences for nonlinear functional differential equations of the first order
- Local variation formulas of solutions for nonlinear controlled functional differential equations with constant delays and the discontinuous initial condition
- Solutions to Neumann boundary value problems with a generalized 𝑝-Laplacian
- Off-diagonal extrapolation on mixed variable Lebesgue spaces and its applications to strong fractional maximal operators
- The Arnon bases in the Steenrod algebra
- Inner functions as multipliers and zero sets in weighted Dirichlet spaces
