Add to ORKGAbstract. Conditions for the unique solvability of the Cauchy problem for a certain family of scalar functional differential equations are obtained. These conditions are sufficient for the solvability of the Cauchy problem for every equation from the given family. Moreover, obtained conditions are optimal and cannot be weakened. In contrast to many known articles, we consider equations with functional operators acting into the space of essentially bounded functions
summary:We consider the equation \begin{equation} - r(x)y^{\prime }(x)+q(x)y(x)=f(x)\,,\quad x\in \m...
Theorems on the unique solvability and nonnegativity of solutions to the characteristic initial valu...
RESUMEN: El problema de Cauchy o de condiciones iniciales asociado a un sistema de ecuaciones difere...
summary:Nonimprovable, in a sense sufficient conditions guaranteeing the unique solvability of the p...
summary:New general unique solvability conditions of the Cauchy problem for systems of general linea...
summary:We establish new efficient conditions sufficient for the unique solvability of the initial v...
We establish optimal, in a sense, unique solvability conditions of the Cauchy problem for a wide cl...
Abstract. Nonimprovable sucient conditions for the solvability and unique solvability of the problem...
Abstract. Necessary and sufficient conditions for the solvability of boundary value problems for a f...
General conditions are obtained for the unique solvability of a non‐local boundary value problem for...
summary:Consider the homogeneous equation $$ u'(t)=\ell (u)(t)\qquad \mbox {for a.e. } t\in [a,b] $$...
The Cauchy problem for a linear homogeneous functional-differential equation of the pointwise type d...
summary:Consider boundary value problems for a functional differential equation $$\begin {cases} x^{...
We formulate a criterion of uniqueness of solutions of a Cauchy problem using the comparison functio...
summary:We study the question of the existence, uniqueness, and continuous dependence on parameters ...
summary:We consider the equation \begin{equation} - r(x)y^{\prime }(x)+q(x)y(x)=f(x)\,,\quad x\in \m...
Theorems on the unique solvability and nonnegativity of solutions to the characteristic initial valu...
RESUMEN: El problema de Cauchy o de condiciones iniciales asociado a un sistema de ecuaciones difere...
summary:Nonimprovable, in a sense sufficient conditions guaranteeing the unique solvability of the p...
summary:New general unique solvability conditions of the Cauchy problem for systems of general linea...
summary:We establish new efficient conditions sufficient for the unique solvability of the initial v...
We establish optimal, in a sense, unique solvability conditions of the Cauchy problem for a wide cl...
Abstract. Nonimprovable sucient conditions for the solvability and unique solvability of the problem...
Abstract. Necessary and sufficient conditions for the solvability of boundary value problems for a f...
General conditions are obtained for the unique solvability of a non‐local boundary value problem for...
summary:Consider the homogeneous equation $$ u'(t)=\ell (u)(t)\qquad \mbox {for a.e. } t\in [a,b] $$...
The Cauchy problem for a linear homogeneous functional-differential equation of the pointwise type d...
summary:Consider boundary value problems for a functional differential equation $$\begin {cases} x^{...
We formulate a criterion of uniqueness of solutions of a Cauchy problem using the comparison functio...
summary:We study the question of the existence, uniqueness, and continuous dependence on parameters ...
summary:We consider the equation \begin{equation} - r(x)y^{\prime }(x)+q(x)y(x)=f(x)\,,\quad x\in \m...
Theorems on the unique solvability and nonnegativity of solutions to the characteristic initial valu...
RESUMEN: El problema de Cauchy o de condiciones iniciales asociado a un sistema de ecuaciones difere...