Theory of equations of neutral type
From MaRDI portal
Publication:791741
DOI10.1007/BF01305757zbMath0536.34044OpenAlexW2044294889MaRDI QIDQ791741
A. S. Potapov, R. R. Akhmerov, Aleksandra Rodkina, Mikhail Kamenskii, B. N. Sadovskii
Publication date: 1984
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01305757
generalized solutionsCauchy problemneutral differential equationslocal solvabilityparameter dependence
Averaging method for ordinary differential equations (34C29) General theory of functional-differential equations (34K05) Differential inequalities involving functions of a single real variable (34A40) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Stability theory for ordinary differential equations (34Dxx) Boundary value problems for ordinary differential equations (34Bxx)
Related Items
On the oscillatory convergence of solutions of a neutral delay diffusion equation ⋮ Nonlinear Volterra equations with loads and bifurcation parameters: existence theorems and construction of solutions ⋮ A simple stability criterion for a linear system of neutral integro-differential equations ⋮ Control barrier functionals: Safety‐critical control for time delay systems
Cites Work
- The completeness of the Floquet solutions of second-order differential equations with a deviating argument
- A Liapunov functional for a matrix neutral difference-differential equation with one delay
- Über Differential-Differenzengleichungen mit anomalen Lösungen
- Differential-difference equations
- Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
- Delay-feedback using derivatives for minimal time linear control problems
- Linear autonomous neutral functional differential equations
- Stabilization of neutral functional differential equations
- Existence and uniqueness of the solution of boundary-value problems for integrodifferential equations of superneutral type
- Theory of functional differential equations. 2nd ed
- Representation of solutions and stability of linear differentialdifference equations in a Banach space
- Linear autonomous neutral differential equations in a Banach space
- Abstract Cauchy problem and abstract integral equations for neutral functional differential equations
- Time optimal control of neutral systems with control integral constraint
- Continuous dependence of fixed points of condensing maps
- Behavior near constant solutions of functional differential equations
- Coincidence degree and periodic solutions of neutral equations
- Conjugate-point conditions for variational problems with delayed argument
- Existence and continuous dependence of solutions of a neutral functional- differential equation
- Completeness of the system of Floquet solutions of equations of the neutral type
- Stability of functional differential equations of neutral type
- Periodic solutions of a countable system of differential equations with deviating neutral argument
- Asymptotic behavior of neutral functional differential equations
- Forward and backward continuation for neutral functional differential equations
- Dynamical stability of a pendulum filled with viscous liquid
- On the asymptotic behavior of solutions of differential-difference equations of neutral type
- A generalization of the Ascoli theorem and an application to functional differential equations
- Exponential estiamtes and the saddle point property for neutral functional differential equations
- Critical cases for neutral functional differential equations
- A class of neutral functional differential equations
- Topologies for neutral functional differential equations
- An attainable sets approach to optimal control of functional differential equations with function space terminal conditions
- Stability in the critical case of purely imaginary roots for neutral functional differential equations
- On the inversion of functional operators in a space of functions bounded on the axes
- Existence and uniqueness theorems for some functional differential equations of neutral type
- Stability of perturbed neutral functional differential equations
- Representation for solutions of linear neutral functional differential equations
- Periodic solutions of autonomous functional differential equations
- 5.—The Uniform Asymptotic Stability of Certain Linear Differential-difference Equations
- Criteria for Function Space Controllability of Linear Neutral Systems
- On the Pointwise Completeness of Delay-Differential Systems of Neutral Type
- On the existence and uniqueness of solution of boundary-value problem for differential equations with parameter
- Théorème de Noether pour des problèmes variationnels à arguments déplacés
- Slowly varying, linear, neutral, functional, differential equations†
- Bifurcation of periodic solutions in a nonlinear difference-differential equations of neutral type
- Nonlinear oscillations in a distributed network
- Small-signal Stability Criterion for Electrical Networks Containing Lossless Transmission Lines
- A class of functional equations of neutral type
- A Class of Neutral Equations with the Fixed Point Property
- Existence and Continuous Dependence for a Class of Nonlinear Neutral- Differential Equations
- Uniform approximation in classes of continuous functions by polynomials in the Haar system
- On the Stability of a Periodic Solution of a Differential Delay Equation
- On the existence and uniqueness of solutions of a certain integral-functional equation
- Control of Functional Differential Equations of Retarded and Neutral Type to Target Sets in Function Space
- Controllability of nonlinear systems of neutral type
- Functional differential equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
