A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients
We establish conditions for the unique existence of a solution of a problem with formal initial conditions. We investigate the problem of its solvability in the case where a solution is not unique.
Saved in:
| Date: | 1998 |
|---|---|
| Main Authors: | Il'kiv, V. S., Ільків, В. С. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4868 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Problems for partial differential equations with nonlocal conditions. Metric approach to the problem of small denominators
by: Il'kiv, V. S., et al.
Published: (2006)
by: Il'kiv, V. S., et al.
Published: (2006)
Multipoint Problem for Nonisotropic Partial Differential Equations with Constant Coefficients
by: Ptashnik, B. I., et al.
Published: (2003)
by: Ptashnik, B. I., et al.
Published: (2003)
Multipoint problem for typeless systems of differential equations with constant coefficients
by: Ptashnik, B. I., et al.
Published: (1997)
by: Ptashnik, B. I., et al.
Published: (1997)
Representation and investigation of solutions of a nonlocal boundary-value problem for a system of partial differential equations
by: Il'kiv, V. S., et al.
Published: (1996)
by: Il'kiv, V. S., et al.
Published: (1996)
A Multipoint Problem for Pseudodifferential Equations
by: Klyus, I. S., et al.
Published: (2003)
by: Klyus, I. S., et al.
Published: (2003)
Nonlocal problem with multipoint perturbations of Dirichlet conditions for even-order partial differential equations with constant coefficients
by: Ya. O. Baranetskyi, et al.
Published: (2018)
by: Ya. O. Baranetskyi, et al.
Published: (2018)
Solvability of the Nonlocal Boundary-Value Problem for a System of Differential-Operator Equations in the Sobolev Scale of Spaces and in a Refined Scale
by: Il'kiv, V. S., et al.
Published: (2015)
by: Il'kiv, V. S., et al.
Published: (2015)
The Dirichlet−Neumann type problem for system of partial differential equations with constant coefficients
by: B. Y. Ptashnyk, et al.
Published: (2012)
by: B. Y. Ptashnyk, et al.
Published: (2012)
Nonlocal multipoint problem for partial differential equations with constant coefficients of even order
by: Ya. O. Baranetskyi, et al.
Published: (2018)
by: Ya. O. Baranetskyi, et al.
Published: (2018)
Dirichlet–Neumann problem for high-order partial differential equations with constant coefficients
by: S. M. Repetylo, et al.
Published: (2018)
by: S. M. Repetylo, et al.
Published: (2018)
The Dirichlet–Neumann problem for linear nonelliptic partial differential equations with constant coefficients
by: B. Y. Ptashnyk, et al.
Published: (2015)
by: B. Y. Ptashnyk, et al.
Published: (2015)
Bounded solutions of a differential equation with piecewise constant operator coefficients
by: M. F. Horodnii, et al.
Published: (2021)
by: M. F. Horodnii, et al.
Published: (2021)
Symmetric a-stable stochastic process and the third initial-boundary-value problem for the corresponding pseudodifferential equation
by: M. M. Osypchuk, et al.
Published: (2017)
by: M. M. Osypchuk, et al.
Published: (2017)
The estimate of a measure of the level set for solutions of differential equations with constant coefficients
by: V. S. Ilkiv, et al.
Published: (2014)
by: V. S. Ilkiv, et al.
Published: (2014)
Problem with integral conditions in the time variable for Sobolevtype
system of equations with constant coefficients
by: Kuz, A. M., et al.
Published: (2017)
by: Kuz, A. M., et al.
Published: (2017)
Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient
by: Il'chenko, Yu. V., et al.
Published: (2011)
by: Il'chenko, Yu. V., et al.
Published: (2011)
Boundary-value problems for hyperbolic equations with constant coefficients
by: Bobyk, I. O., et al.
Published: (1994)
by: Bobyk, I. O., et al.
Published: (1994)
New forms of the Lopatynsky condition
by: Il’kiv, V., et al.
Published: (2025)
by: Il’kiv, V., et al.
Published: (2025)
Nonlocal boundary-value problem for a second-order
partial differential equation in an unbounded strip
by: Il'kiv, V. S., et al.
Published: (2018)
by: Il'kiv, V. S., et al.
Published: (2018)
A Problem with Nonlocal Conditions for Partial Differential Equations with Variable Coefficients
by: Vlasii, O. D., et al.
Published: (2001)
by: Vlasii, O. D., et al.
Published: (2001)
A method of discretization of fractional-derivative systems of ordinary differential equations with constant coefficients
by: F. A. Aliev, et al.
Published: (2020)
by: F. A. Aliev, et al.
Published: (2020)
The Dirichlet – Neumann problem in a strip for hyperbolic equations with constant coefficients
by: B. Y. Ptashnyk, et al.
Published: (2013)
by: B. Y. Ptashnyk, et al.
Published: (2013)
Sufficient conditions for oscillation of solutions of first order neutral delay impulsive differential equations with constant coefficients
by: Dimitrova, M.B., et al.
Published: (2010)
by: Dimitrova, M.B., et al.
Published: (2010)
Problem with integral conditions in the time variable for Sobolev-type system of equations with constant coefficients
by: A. M. Kuz, et al.
Published: (2017)
by: A. M. Kuz, et al.
Published: (2017)
Symmetric α-stable stochastic process and the third
initial-boundary-value problem for the corresponding pseudodifferential equation
by: Osipchuk, M. M., et al.
Published: (2017)
by: Osipchuk, M. M., et al.
Published: (2017)
Integration of Shazy equation with constant coefficients
by: Chichurin, A.V.
Published: (2003)
by: Chichurin, A.V.
Published: (2003)
Dirichlet – Neumann problem for systems of hyperbolic equations with constant coefficients
by: B. Y. Ptashnyk, et al.
Published: (2014)
by: B. Y. Ptashnyk, et al.
Published: (2014)
A Cauchy problem for evolution pseudodifferential equations with variable symbols
by: V. V. Horodetskyi, et al.
Published: (2014)
by: V. V. Horodetskyi, et al.
Published: (2014)
General conditions for the unique solvability of initial-value problem for nonlinear functional differential equations
by: Dil'na, N. Z., et al.
Published: (2008)
by: Dil'na, N. Z., et al.
Published: (2008)
Multipoint (in Time) Problem for One Class of Evolutionary Pseudodifferential Equations
by: V. V. Horodetskyi, et al.
Published: (2014)
by: V. V. Horodetskyi, et al.
Published: (2014)
Multipoint (in Time) Problem for One Class of Evolutionary Pseudodifferential Equations
by: Horodets’kyi, V. V., et al.
Published: (2014)
by: Horodets’kyi, V. V., et al.
Published: (2014)
A nonlocal problem multipoint in the time for one class of evolution pseudodifferential equations
by: V. V. Horodetskyi, et al.
Published: (2012)
by: V. V. Horodetskyi, et al.
Published: (2012)
A problem for one class of pseudodifferential evolutionary equations multipoint in the time variable
by: V. V. Gorodetskij, et al.
Published: (2018)
by: V. V. Gorodetskij, et al.
Published: (2018)
A problem for one class of pseudodifferential
evolutionary equations multipoint in the time variable
by: Verezhak, A. P., et al.
Published: (2018)
by: Verezhak, A. P., et al.
Published: (2018)
On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients
by: Nabiev, A.A., et al.
Published: (2015)
by: Nabiev, A.A., et al.
Published: (2015)
Nonlocal problem for autonomous quasilinear parabolic pseudodifferential equations with deviating argument
by: Ya. M. Drin, et al.
Published: (2015)
by: Ya. M. Drin, et al.
Published: (2015)
Asymptotic estimates for the solutions of boundary-value problems with initial jump for linear differential equations with small parameter in the coefficients of derivatives
by: K. A. Kasymov, et al.
Published: (2013)
by: K. A. Kasymov, et al.
Published: (2013)
Asymptotic estimates for the solutions of boundary-value problems with initial jump for linear differential equations with small parameter in the coefficients of derivatives
by: Kasymov, K. A., et al.
Published: (2013)
by: Kasymov, K. A., et al.
Published: (2013)
Problem without initial conditions for linear and almost linear degenerate operator differential equations
by: Dmytryshyn, Yu. B., et al.
Published: (2009)
by: Dmytryshyn, Yu. B., et al.
Published: (2009)
Conditions of non-uniqueness of solution for Dirichlet problem in a unit disk in terms of differential equation coefficients
by: V. S. Ilkiv
Published: (2012)
by: V. S. Ilkiv
Published: (2012)
Similar Items
-
Problems for partial differential equations with nonlocal conditions. Metric approach to the problem of small denominators
by: Il'kiv, V. S., et al.
Published: (2006) -
Multipoint Problem for Nonisotropic Partial Differential Equations with Constant Coefficients
by: Ptashnik, B. I., et al.
Published: (2003) -
Multipoint problem for typeless systems of differential equations with constant coefficients
by: Ptashnik, B. I., et al.
Published: (1997) -
Representation and investigation of solutions of a nonlocal boundary-value problem for a system of partial differential equations
by: Il'kiv, V. S., et al.
Published: (1996) -
A Multipoint Problem for Pseudodifferential Equations
by: Klyus, I. S., et al.
Published: (2003)