Phragmén-Lindelöf theorem for solutions of elliptic differential equations in a banach space
For a second-order elliptic differential equation considered on a semiaxis in a Banach space, we show that if the order of growth of its solution at infinity is not higher than the exponential order, then this solution tends exponentially to zero at infinity.
Saved in:
| Date: | 2007 |
|---|---|
| Main Authors: | Gorbachuk, M. L., Горбачук, М. Л. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2007
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3336 |
| 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
A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable
by: Antypko, I. I., et al.
Published: (1998)
by: Antypko, I. I., et al.
Published: (1998)
On the Phragmén–Lindelöf Indicator for Random Entire Functions
by: Filevych, P. V., et al.
Published: (2000)
by: Filevych, P. V., et al.
Published: (2000)
Phragmen-Lindelof Principle for Some Quasilinear Evolution Equations of the Second Order
by: Sleptsova, I. P., et al.
Published: (2005)
by: Sleptsova, I. P., et al.
Published: (2005)
On the Fragmen–Lindelof theorems for quasilinear elliptic equations of the second order
by: Kurta , V. V., et al.
Published: (1992)
by: Kurta , V. V., et al.
Published: (1992)
A generalization of the Lindelöf theorem
by: Zabolotskii, N. V., et al.
Published: (1998)
by: Zabolotskii, N. V., et al.
Published: (1998)
Behaviour on the infinity of the solution of the differential-operator first order equation in the Banach space
by: Gorbachuk, V. M., et al.
Published: (1988)
by: Gorbachuk, V. M., et al.
Published: (1988)
On the correct solvability of the Dirichlet problem for operator differential equations in a Banach space
by: Gorbachuk, V. M., et al.
Published: (2006)
by: Gorbachuk, V. M., et al.
Published: (2006)
The direct and inverse theorems of the approximation theory for solutions of differential equations in a Banach space
by: M. L. Horbachuk, et al.
Published: (2016)
by: M. L. Horbachuk, et al.
Published: (2016)
On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis
by: Gorbachuk, V. M., et al.
Published: (1994)
by: Gorbachuk, V. M., et al.
Published: (1994)
Existence of the boundary in the Chesaro sense of a limited solution of the evolution equation in the Banach space
by: Gorbachuk , O. L., et al.
Published: (1992)
by: Gorbachuk , O. L., et al.
Published: (1992)
Structure of solutions of differential equations in a Banach space on an infinite interval
by: V. M. Horbachuk
Published: (2016)
by: V. M. Horbachuk
Published: (2016)
On solutions of differential equations in Banach space on the whole real axis
by: V. M. Horbachuk
Published: (2015)
by: V. M. Horbachuk
Published: (2015)
Stability of Bounded Solutions of Differential Equations with Small Parameter in a Banach Space
by: Gorodnii, M. F., et al.
Published: (2003)
by: Gorodnii, M. F., et al.
Published: (2003)
Periodic solutions of nonlinear differential equations with pulse influence in a banach space
by: Perestyuk, N. A., et al.
Published: (1995)
by: Perestyuk, N. A., et al.
Published: (1995)
Periodic solutions of nonlinear differential equations with pulse influence in a Banach space
by: Perestyuk, N.A., et al.
Published: (1995)
by: Perestyuk, N.A., et al.
Published: (1995)
Entire solutions of one linear implicit differential-difference equation in Banach spaces
by: Gefter, S. L., et al.
Published: (2018)
by: Gefter, S. L., et al.
Published: (2018)
On analytic solutions of operator differential equations
by: Gorbachuk, M. L., et al.
Published: (2000)
by: Gorbachuk, M. L., et al.
Published: (2000)
On the approximation of a bounded solution of a linear differential equation in a Banach space
by: Gorodnii, M. F., et al.
Published: (1998)
by: Gorodnii, M. F., et al.
Published: (1998)
On continuous dependence of solutions of linear differential equations on a parameter in a Banach space
by: Nguen, Tkhe Khoan, et al.
Published: (1999)
by: Nguen, Tkhe Khoan, et al.
Published: (1999)
Entire solutions of one linear implicit differential-difference equation in Banach spaces
by: S. L. Hefter, et al.
Published: (2018)
by: S. L. Hefter, et al.
Published: (2018)
Invariant tori of differential equations in a Banach space
by: Ilolov, M., et al.
Published: (1998)
by: Ilolov, M., et al.
Published: (1998)
On the Skitovich-Darmois theorem and Heyde theorem in a Banach space
by: Myronyuk, M. V., et al.
Published: (2008)
by: Myronyuk, M. V., et al.
Published: (2008)
On the solvability of a complete second-order differential equation in Banach space
by: Gershtein, L. M., et al.
Published: (1993)
by: Gershtein, L. M., et al.
Published: (1993)
Representations of a Group of Linear Operators in a Banach Space on the Set of Entire Vectors of its Generator
by: Gorbachuk, V. M., et al.
Published: (2015)
by: Gorbachuk, V. M., et al.
Published: (2015)
Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces
by: Yu. Sliusarchuk
Published: (2013)
by: Yu. Sliusarchuk
Published: (2013)
Conditions of existence of bounded solutions of differential equation in Banach space on the real axis
by: V. M. Horbachuk
Published: (2016)
by: V. M. Horbachuk
Published: (2016)
Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces
by: Slyusarchuk, V. Yu., et al.
Published: (2013)
by: Slyusarchuk, V. Yu., et al.
Published: (2013)
Central limiting theorem in the Banach space
by: Matsak , I. К., et al.
Published: (1988)
by: Matsak , I. К., et al.
Published: (1988)
Direct and inverse theorems on approximation of solution of operator equation
by: Gorbachuk, M.L., et al.
Published: (1999)
by: Gorbachuk, M.L., et al.
Published: (1999)
A note on the central limiting theorem in the Banach space
by: Matsak, I. K., et al.
Published: (1988)
by: Matsak, I. K., et al.
Published: (1988)
Lyapunov transformation and stability of differential equations in Banach spaces
by: Tran Thi Loan
Published: (1999)
by: Tran Thi Loan
Published: (1999)
Lyapunov transformation and stability of differential equations in banach spaces
by: Tran, Thi Loan, et al.
Published: (1999)
by: Tran, Thi Loan, et al.
Published: (1999)
Limited and periodical solutions of one differential equation and its stochastic analog in the Banach space
by: Gorodny , M. F., et al.
Published: (1991)
by: Gorodny , M. F., et al.
Published: (1991)
A generalization of the Newton-Kantorovich theorem in a Banach space
by: S. M. Chuiko
Published: (2018)
by: S. M. Chuiko
Published: (2018)
Differential operators determining solutions of Elliptic equations
by: Aleksandrovich, I. N., et al.
Published: (1995)
by: Aleksandrovich, I. N., et al.
Published: (1995)
The Inverse Theorem for the Generalized Derivative in Banach Spaces
by: Радзієвська, Олена, et al.
Published: (2023)
by: Радзієвська, Олена, et al.
Published: (2023)
Conditions for the Existence of Nonoscillating Solutions of Nonlinear Differential Equations with Delay and Pulse Influence in a Banach Space
by: Perestyuk, N. A., et al.
Published: (2003)
by: Perestyuk, N. A., et al.
Published: (2003)
Necessary and sufficient conditions for the oscillation of solutions of nonlinear differential equations with pulse influence in a banach space
by: Slyusarchuk, V. E., et al.
Published: (1999)
by: Slyusarchuk, V. E., et al.
Published: (1999)
On the ?-differentiability of mappings of Banach spaces
by: Gretskii, O. S., et al.
Published: (1994)
by: Gretskii, O. S., et al.
Published: (1994)
On the concept of generalized solution of operator equations in banach spaces
by: Petunin, Yu. I., et al.
Published: (1996)
by: Petunin, Yu. I., et al.
Published: (1996)
Similar Items
-
A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable
by: Antypko, I. I., et al.
Published: (1998) -
On the Phragmén–Lindelöf Indicator for Random Entire Functions
by: Filevych, P. V., et al.
Published: (2000) -
Phragmen-Lindelof Principle for Some Quasilinear Evolution Equations of the Second Order
by: Sleptsova, I. P., et al.
Published: (2005) -
On the Fragmen–Lindelof theorems for quasilinear elliptic equations of the second order
by: Kurta , V. V., et al.
Published: (1992) -
A generalization of the Lindelöf theorem
by: Zabolotskii, N. V., et al.
Published: (1998)