Buchumschlag

On analytic solutions of operator differential equations

We find conditions on a closed operator A in a Banach space that are necessary and sufficient for the existence of solutions of a differential equation y′(t) = Ay(t), t ∈[0,∞),in the classes of entire vector functions with given order of growth and type. We present criteria for the denseness of clas...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2000
Hauptverfasser:	Gorbachuk, M. L., Горбачук, М. Л.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2000
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/4454
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

Behaviour on the infinity of the solution of the differential-operator first order equation in the Banach space
von: Gorbachuk, V. M., et al.
Veröffentlicht: (1988)

On the spectral functions of differential equations of the second order with operator coefficients
von: Gorbachuk, M. L., et al.
Veröffentlicht: (1966)

On the correct solvability of the Dirichlet problem for operator differential equations in a Banach space
von: Gorbachuk, V. M., et al.
Veröffentlicht: (2006)

Phragmén-Lindelöf theorem for solutions of elliptic differential equations in a banach space
von: Gorbachuk, M. L., et al.
Veröffentlicht: (2007)

Some problems of spectral theory of the second order linear differential equation with unlimited operator coefficients
von: Gorbachuk, V. I., et al.
Veröffentlicht: (1970)

On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis
von: Gorbachuk, V. M., et al.
Veröffentlicht: (1994)

Direct and inverse theorems on approximation of solution of operator equation
von: Gorbachuk, M.L., et al.
Veröffentlicht: (1999)

Estimate of error of an approximated solution by the method of moments of an operator equation
von: Gorbachuk, M. L., et al.
Veröffentlicht: (1996)

On the existence of solutions of operator differential equations
von: Solonukha, O.V., et al.
Veröffentlicht: (2004)

Turning point in a system of differential equations with analytic operator
von: Bobochko, V. N., et al.
Veröffentlicht: (1996)

Approximation of solutions of operator-differential equations by operator polynomials
von: Kashpirovskii, A. I., et al.
Veröffentlicht: (1998)

Differential operators determining solutions of Elliptic equations
von: Aleksandrovich, I. N., et al.
Veröffentlicht: (1995)

On generalized solutions of differential equations with operator coefficients
von: Chernobai, O. B., et al.
Veröffentlicht: (2006)

On the behavior of solutions of operator-differential equations at infinity
von: Butyrin, A.A.
Veröffentlicht: (1994)

On the behavior of solutions of operator-differential equations at infinity
von: Butyrin, A. A., et al.
Veröffentlicht: (1994)

On polynomial approximation of solutions of differential-operator equations
von: Orudzhev, G. D., et al.
Veröffentlicht: (1993)

On analytic solutions of nonlinear differential functional equations with nonlinear deviations of arguments
von: Pelyukh, G. P., et al.
Veröffentlicht: (1999)

Differential operators specifying the solution of an elliptictype iterated equation
von: Aleksandrovich, I. N., et al.
Veröffentlicht: (2019)

Differential operators specifying the solution of an elliptictype iterated equation
von: I. M. Aleksandrovych, et al.
Veröffentlicht: (2019)

Generalized Vandermonde operator and bounded solutions of differential equations
von: Horodnii, M., et al.
Veröffentlicht: (2026)

Pth power integrable solutions for an operator differential equation
von: M. F. Horodnii, et al.
Veröffentlicht: (2014)

Spaces of smooth and generalized vectors of the generator of an analytic semigroup and their applications
von: Gorbachuk, V. M., et al.
Veröffentlicht: (2017)

On generalized solutions of differential equations with several operator coefficients
von: Chernobai, O. B., et al.
Veröffentlicht: (2012)

Representation of solutions of one integro-differential operator equation
von: Linchuk, Yu. S., et al.
Veröffentlicht: (2007)

Global analyticity of solutions of nonlinear functional differential equations representable by Dirichlet series
von: Murovtsev, A. N., et al.
Veröffentlicht: (2006)

Theory of self-adjoint extensions of symmetric operators. entire operators and boundary-value problems
von: Gorbachuk, V. I., et al.
Veröffentlicht: (1994)

Polynomial approximations of solutions of higher-order operator-differential equations
von: Orudzhev, G. D., et al.
Veröffentlicht: (1994)

Analytical solution of Kompaneets equation
von: A. V. Karnaushenko
Veröffentlicht: (2012)

Analytical solution of Kompaneets equation
von: Karnaushenko, A.V.
Veröffentlicht: (2012)

Bounded solutions of a differential equation with piecewise constant operator coefficients
von: M. F. Horodnii, et al.
Veröffentlicht: (2021)

About bounded properties of smooth solutions of some differential-operator equations
von: Gorodetsky, V.V., et al.
Veröffentlicht: (1999)

On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators
von: Gorbachuk, V. I., et al.
Veröffentlicht: (2000)

Application of the Numerical-Analytic Method to Systems of Differential Equations with Parameter
von: Yanovskii, L. P., et al.
Veröffentlicht: (2002)

On analytical solutions for sets of functional equations
von: Kurbanshoev , S. Z., et al.
Veröffentlicht: (2025)

Behavior of the extended spectral measure of a self-adjoint operator at infinity
von: Gorbachuk, V. I., et al.
Veröffentlicht: (1997)

On the representation of the vacuum mean of field operators in a space with an indefinite metrics
von: Gorbachuk, V. I., et al.
Veröffentlicht: (1966)

Mean-square asymptotic stability of solutions of systems of stochastic differential equations with random operators
von: Yurchenko, I. V., et al.
Veröffentlicht: (1995)

Sharp starlike and convex radius for the differential operator of analytic functions
von: Hu, Zhenyong, et al.
Veröffentlicht: (2025)

Analytical images of Kepler’s equation solutions and their applications
von: M. Vavrukh, et al.
Veröffentlicht: (2023)

Identification Method of Operational Control the Process a Numerical Solution of Differential Equation
von: A. F. Verlan, et al.
Veröffentlicht: (2018)