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We establish new efficient conditions sufficient for the unique solvability of the initial value problem for two-dimensional systems of linear functional differential equations with monotone operators.

Some basic theorems on difference-differential equations.

Pachpatte, Baburao G. (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Some Periodicity Criteria for Functional Differential Equations.

Wolfgang Alte (1977/1978)

Manuscripta mathematica

Some problems concerning the equivalences of two systems of differential equations

Švec, Marko (1986)

Equadiff 6

Some properties of the functional differential equation.

LL. G Chambers (1981)

Aequationes mathematicae

Some remarks on an operator equation in a Banach space

Bogdan Rzepecki (1980)

Annales Polonici Mathematici

Some results on the oscillatory and asymptotic behavior of solutions of nonlinear delay differential inequalities

Pavol Marušiak (1982)

Archivum Mathematicum

Stability analysis of linear multistep methods for delay differential equations.

Bakke, V.L., Jackiewicz, Z. (1986)

International Journal of Mathematics and Mathematical Sciences

Stability analysis of numerical methods for delay differential equations.

M.N. Spijker, K.J. In't Hout (1991)

Numerische Mathematik

Stability and Asymptotic Behavior for Certain Systems of Delay Difference Equations

J. Morchało (1997)

Publications de l'Institut Mathématique

Stability for a non-local non-autonomous system of fractional order differential equations with delays.

El-Sayed, Ahmed M.A., Gaafar, Fatma M., Hamadalla, Eman M.A. (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Stabilization of solutions to a differential-delay equation in a Banach space

J. J. Koliha, Ivan Straškraba (1997)

Annales Polonici Mathematici

A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.

Sur le prolongement à gauche de l'intégrale d'une équation différentielle à paramètre retardé

Z. Mikołajska (1980)

Annales Polonici Mathematici

Sur les systèmes d'équations différence-différentielles

C. A. Berenstein, B. A. Taylor, A. Yger (1983)

Annales de l'institut Fourier

Étant donné un système $(S)$ d’équations différence-différentielles à coefficients constants en deux variables, où les retards sont commensurables, de la forme : $μ_{1} * f = 0$ , $μ_{2} * f = 0$ , si le système n’est pas redondant (i.e. $V {{\hat{μ}}_{1} = {\hat{μ}}_{2} = 0}$ est discrète dans $C^{2}$ ), toute solution $C^{\infty}$ du système admet une représentation $f (x) = Σ a_{γ} (x) e^{i ⟨ γ, x ⟩}$ , où $γ \in V$ , $a_{γ} \in C [x_{1}, x_{2}]$ et $a_{γ} (x) e^{i ⟨ γ, x ⟩}$ est une solution du système $(S)$ . La série est de plus convergente dans $ℰ (R^{2})$ après un groupement de termes indépendant de la solution $f$ .

Sur l'existence de la solution d'une équation différentielle à argument accéléré

A. Sobolewska (1972)

Annales Polonici Mathematici

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