On the Solvability of a Fourth-Order Operator-Differential Equation with Multiple Characteristic
In the Sobolev-type space with exponential weight, we obtain sufficient conditions for the well-posed and unique solvability on the entire axis of a fourth-order operator-differential equation whose main part has a multiple characteristic. We establish estimates for the norms of the operators of int...
Saved in:
| Date: | 2014 |
|---|---|
| Main Authors: | Aliev, A. R., Алиев, А. Р. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2014
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2171 |
| 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
On the Solvability of a Fourth-Order Operator-Differential Equation with Multiple Characteristic
by: A. R. Aliev
Published: (2014)
by: A. R. Aliev
Published: (2014)
Solvability of the boundary-value problem for the second-order elliptic differential-operator equation with spectral parameter in the equation and boundary conditions
by: Aliev, B. A., et al.
Published: (2010)
by: Aliev, B. A., et al.
Published: (2010)
On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis
by: Aliev, A.R.
Published: (2006)
by: Aliev, A.R.
Published: (2006)
Asymptotic behavior of the eigenvalues of a boundary-value problem for a second-order elliptic operator-differential equation
by: Aliev, B. A., et al.
Published: (2006)
by: Aliev, B. A., et al.
Published: (2006)
Solvability of inhomogeneous boundary-value problems for fourth-order differential equations
by: Avci, H., et al.
Published: (2011)
by: Avci, H., et al.
Published: (2011)
Solvability of inhomogeneous boundary-value problems for fourth-order differential equations
by: Buryachenko, K. O., et al.
Published: (2011)
by: Buryachenko, K. O., et al.
Published: (2011)
A boundary-value problem for the fourth-order equation with multiple characteristics in a rectangular domain
by: Yu. P. Apakov, et al.
Published: (2021)
by: Yu. P. Apakov, et al.
Published: (2021)
Oscillation of certain fourth-order functional differential equations
by: Agarwal, P., et al.
Published: (2007)
by: Agarwal, P., et al.
Published: (2007)
Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics
by: Orudzhev, E.G.
Published: (2010)
by: Orudzhev, E.G.
Published: (2010)
Solvability of the Neumann problem in a disk for the fourth order properly elliptic equations
by: K. O. Buriachenko, et al.
Published: (2014)
by: K. O. Buriachenko, et al.
Published: (2014)
Some boundary-value problems for a class of fourth-order differential equations on a graph
by: Mustafokulov, R., et al.
Published: (1996)
by: Mustafokulov, R., et al.
Published: (1996)
Oscillation of fourth-order delay differential equations
by: Zhang, C., et al.
Published: (2013)
by: Zhang, C., et al.
Published: (2013)
Oscillation of fourth-order delay differential equations
by: C. Zhang, et al.
Published: (2013)
by: C. Zhang, et al.
Published: (2013)
Oscillation of certain fourth order functional differential equations
by: Agarwal, R.P., et al.
Published: (2007)
by: Agarwal, R.P., et al.
Published: (2007)
On Generalized Regularized Trace of a Fourth-Order Differential Operator with Operator Coefficient
by: Aslanova, N. M., et al.
Published: (2014)
by: Aslanova, N. M., et al.
Published: (2014)
Multiple solutions to boundary-value problems for fourth-order elliptic equations
by: D. T. Luyen, et al.
Published: (2023)
by: D. T. Luyen, et al.
Published: (2023)
Multiple solutions to boundary-value problems for fourth-order elliptic equations
by: Luyen, Duong Trong, et al.
Published: (2023)
by: Luyen, Duong Trong, et al.
Published: (2023)
On Generalized Regularized Trace of a Fourth-Order Differential Operator with Operator Coefficient
by: H. M. Aslanova, et al.
Published: (2014)
by: H. M. Aslanova, et al.
Published: (2014)
Expansion of a bundle of fourth-order differential operators in a part of its eigenfunctions
by: Gomilko, A. M., et al.
Published: (1993)
by: Gomilko, A. M., et al.
Published: (1993)
On one boundary-value problem for elliptic
differential-operator equations of the second order with quadratic spectral parameter
by: Aliev, B. A., et al.
Published: (2017)
by: Aliev, B. A., et al.
Published: (2017)
On the convergence of solutions of certain inhomogeneous fourth-order differential equations
by: Tunc, E.
Published: (2010)
by: Tunc, E.
Published: (2010)
On the convergence of solutions of certain inhomogeneous fourth-order differential equations
by: Tunç, E., et al.
Published: (2010)
by: Tunç, E., et al.
Published: (2010)
Third boundary-value problem for a third-order differential
equation with multiple characteristics
by: Apakov, Yu. P., et al.
Published: (2018)
by: Apakov, Yu. P., et al.
Published: (2018)
Third boundary-value problem for a third-order differential equation with multiple characteristics
by: Ju. P. Apakov, et al.
Published: (2018)
by: Ju. P. Apakov, et al.
Published: (2018)
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)
Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations
by: Martínez, C., et al.
Published: (2016)
by: Martínez, C., et al.
Published: (2016)
Instability of solutions for certain nonlinear vector differential equations of fourth order
by: Tunç, C.
Published: (2009)
by: Tunç, C.
Published: (2009)
On solvability of one class of third order differential equations
by: B. T. Bilalov, et al.
Published: (2021)
by: B. T. Bilalov, et al.
Published: (2021)
On solvability of one class of third order differential equations
by: Bilalov, B. T., et al.
Published: (2021)
by: Bilalov, B. T., et al.
Published: (2021)
Conditions of nontrivial solvability of the homogeneous Dirichlet problem for equations of any even order in the case of multiple characteristics without slope angles
by: Buryachenko, E. A., et al.
Published: (2010)
by: Buryachenko, E. A., et al.
Published: (2010)
On coercive solvability of operator-differential equations in $B$-spaces
by: Dzhabrailov, M. S., et al.
Published: (1994)
by: Dzhabrailov, M. S., et al.
Published: (1994)
On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of the Third Order
by: Aliev, A.R., et al.
Published: (2010)
by: Aliev, A.R., et al.
Published: (2010)
Solvability conditions for functional equations with a differentiable λ-injective operator
by: Yu. Sliusarchuk
Published: (2016)
by: Yu. Sliusarchuk
Published: (2016)
On transformation operators for a second order differential equation with operator coefficients
by: Androshchuk, A. A., et al.
Published: (1970)
by: Androshchuk, A. A., et al.
Published: (1970)
On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of Second Order with Discontinuous Coeficients
by: S. S. Mirzoev, et al.
Published: (2013)
by: S. S. Mirzoev, et al.
Published: (2013)
On the Solvability of Impulsive Differential-Algebraic Equations
by: Vlasenko, L. A., et al.
Published: (2005)
by: Vlasenko, L. A., et al.
Published: (2005)
Solvability of semilinear differential equations with singularity
by: Rutkas, A. G., et al.
Published: (2008)
by: Rutkas, A. G., et al.
Published: (2008)
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)
On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of Second Order with Discontinuous Coeficients
by: Mirzoev, S.S., et al.
Published: (2013)
by: Mirzoev, S.S., et al.
Published: (2013)
On the solution of a boundary-value problem for a third-order equation with multiple characteristics
by: Apakov, Yu. P., et al.
Published: (2012)
by: Apakov, Yu. P., et al.
Published: (2012)
Similar Items
-
On the Solvability of a Fourth-Order Operator-Differential Equation with Multiple Characteristic
by: A. R. Aliev
Published: (2014) -
Solvability of the boundary-value problem for the second-order elliptic differential-operator equation with spectral parameter in the equation and boundary conditions
by: Aliev, B. A., et al.
Published: (2010) -
On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis
by: Aliev, A.R.
Published: (2006) -
Asymptotic behavior of the eigenvalues of a boundary-value problem for a second-order elliptic operator-differential equation
by: Aliev, B. A., et al.
Published: (2006) -
Solvability of inhomogeneous boundary-value problems for fourth-order differential equations
by: Avci, H., et al.
Published: (2011)