Nonlinear equations with essentially infinite-dimensional differential operators
We consider nonlinear differential equations and boundary-value problems with essentially infinite-dimensional operators (of the Laplace–Lévy type). An analog of the Picard theorem is proved.
Saved in:
| Date: | 2010 |
|---|---|
| Main Authors: | Bogdanskii, Yu. V., Statkevych, V. M., Богданський, Ю. В., Статкевич, В. М. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2010
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2981 |
| 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
Systems of essentially infinite-dimensional differential equations
by: Statkevych, V. M., et al.
Published: (2011)
by: Statkevych, V. M., et al.
Published: (2011)
Cauchy problem for the essentially infinite-dimensional heat equation on a surface in a Hilbert space
by: Bogdanskii, Yu. V., et al.
Published: (1995)
by: Bogdanskii, Yu. V., et al.
Published: (1995)
Investigation of solutions of boundary-value problems with essentially infinite-dimensional elliptic operator
by: Statkevych, V. M., et al.
Published: (2012)
by: Statkevych, V. M., et al.
Published: (2012)
Dirichlet problem for the Poisson equation with an essentially infinite-dimensional elliptic operator
by: Bogdanskii, Yu. V., et al.
Published: (1994)
by: Bogdanskii, Yu. V., et al.
Published: (1994)
Cauchy problem for an essentially infinite-dimensional parabolic equation with variable coefficients
by: Bogdanskii, Yu. V., et al.
Published: (1994)
by: Bogdanskii, Yu. V., et al.
Published: (1994)
Essentially Infinite-Dimensional Evolution Equations
by: Mal'tsev, A. Yu., et al.
Published: (2004)
by: Mal'tsev, A. Yu., et al.
Published: (2004)
Properties of solutions of the cauchy problem for essentially infinite-dimensional evolution equations
by: Mal'tsev, A. Yu., et al.
Published: (2004)
by: Mal'tsev, A. Yu., et al.
Published: (2004)
Asymptotic representations of solutions of essentially nonlinear two-dimensional systems of ordinary differential equations
by: Evtukhov, V. M., et al.
Published: (2009)
by: Evtukhov, V. M., et al.
Published: (2009)
Notes on infinite-dimensional nonlinear parabolic equations
by: Feller, M. N., et al.
Published: (2000)
by: Feller, M. N., et al.
Published: (2000)
Cauchy problem for the essentially infinite-dimensional heat equation on a surface in a Hilbert space
by: Bogdansky, Yu.V.
Published: (1995)
by: Bogdansky, Yu.V.
Published: (1995)
Divergence of multivector fields on infinite-dimensional manifolds
by: Bogdanskii, Yu., et al.
Published: (2023)
by: Bogdanskii, Yu., et al.
Published: (2023)
Divergence of multivector fields on infinite-dimensional manifolds
by: Yu. Bogdanskii, et al.
Published: (2022)
by: Yu. Bogdanskii, et al.
Published: (2022)
Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations
by: Evtukhov, V. M., et al.
Published: (2008)
by: Evtukhov, V. M., et al.
Published: (2008)
Infinite-dimensional version of the Friedrichs inequality
by: Bogdanskii, Yu. V., et al.
Published: (2018)
by: Bogdanskii, Yu. V., et al.
Published: (2018)
Asymptotic behavior of solutions of essentially nonlinear second order differential equations
by: E. S. Vladova
Published: (2016)
by: E. S. Vladova
Published: (2016)
Asymptotic representations of solutions of essentially nonlinear systems of ordinary differential equations with regularly and rapidly varying nonlinearities
by: Evtukhov, V. M., et al.
Published: (2012)
by: Evtukhov, V. M., et al.
Published: (2012)
Asymptotic Behavior of Unbounded Solutions of Essentially Nonlinear Second-Order Differential Equations. I
by: Evtukhov, V. M., et al.
Published: (2005)
by: Evtukhov, V. M., et al.
Published: (2005)
Asymptotic behavior of unbounded solutions of essentially nonlinear second-order differential equations. II
by: Evtukhov, V. M., et al.
Published: (2006)
by: Evtukhov, V. M., et al.
Published: (2006)
Existence criteria and asymptotics for some classes of solutions of essentially nonlinear second-order differential equations
by: Evtukhov, V. M., et al.
Published: (2011)
by: Evtukhov, V. M., et al.
Published: (2011)
Essential normality of some classes of operators in infinite tensor products of Hilbert spaces
by: Livinskii, V. O., et al.
Published: (1994)
by: Livinskii, V. O., et al.
Published: (1994)
Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds
by: Antoniouk, A. Vict., et al.
Published: (1995)
by: Antoniouk, A. Vict., et al.
Published: (1995)
Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus
by: Martynyuk, D. I., et al.
Published: (1994)
by: Martynyuk, D. I., et al.
Published: (1994)
Nonlinear Transformations of Smooth Measures on Infinite-Dimensional Spaces
by: Kulik, A. M., et al.
Published: (2000)
by: Kulik, A. M., et al.
Published: (2000)
Asymptotic representations of rapidly varying solutions of essentially nonlinear differential equations of the second order
by: G. A. Gerzhanovskaja
Published: (2017)
by: G. A. Gerzhanovskaja
Published: (2017)
On the invariant tori of quasilinear countable systems of differential equations defined on infinite-dimensional tori
by: Yu. V. Teplinskyi
Published: (2020)
by: Yu. V. Teplinskyi
Published: (2020)
Infinite-dimensional analysis related to generalized translation operators
by: Berezansky, Yu. M., et al.
Published: (1997)
by: Berezansky, Yu. M., et al.
Published: (1997)
Second order nonlinear differential equations with an infinite set of periodic solutions
by: Kiguradze, I.T.
Published: (2008)
by: Kiguradze, I.T.
Published: (2008)
On the Fréchet Differentiability of Invariant Tori of Countable Systems of Difference Equations Defined on Infinite-Dimensional Tori
by: Marchuk, N. A., et al.
Published: (2003)
by: Marchuk, N. A., et al.
Published: (2003)
On the functional polystability of certain essentially nonlinear nonautonomous differential systems
by: Vitrychenko, I. E., et al.
Published: (2000)
by: Vitrychenko, I. E., et al.
Published: (2000)
Green–Samoilenko operator in the theory of invariant sets of nonlinear differential equations
by: Perestyuk, N. A., et al.
Published: (2009)
by: Perestyuk, N. A., et al.
Published: (2009)
On the instability of one nonautonomous essentially nonlinear equation of thenth order
by: Vitrychenko, I. E., et al.
Published: (1999)
by: Vitrychenko, I. E., et al.
Published: (1999)
Pseudodifferential equations and a generalized translation operator in non-gaussian infinite-dimensional analysis
by: Kachanovskii, N. A., et al.
Published: (1999)
by: Kachanovskii, N. A., et al.
Published: (1999)
Essential self-conjugacy of operators connected with the Cauchy, problem for the wave equation
by: Orochko , Yu. B., et al.
Published: (1992)
by: Orochko , Yu. B., et al.
Published: (1992)
Approximate Method of Construction of Almost Periodic Solutions of Linear Systems of Differential Equations, Defined on the Infinite-Dimensional Torus
by: Yu. V. Teplinskyi
Published: (2020)
by: Yu. V. Teplinskyi
Published: (2020)
Nonlinear-estimate approach to the regularity of infinite-dimensional parabolic problems
by: Antoniouk, A.Val., et al.
Published: (2006)
by: Antoniouk, A.Val., et al.
Published: (2006)
Nonlinear-estimate approach to the regularity of infinite-dimensional parabolic problems
by: Antoniouk, A. Val., et al.
Published: (2006)
by: Antoniouk, A. Val., et al.
Published: (2006)
On λ-stability of one essentially nonlinear nonautonomous second order equation
by: Vitrychenko, I.E.
Published: (2001)
by: Vitrychenko, I.E.
Published: (2001)
Conditional and hidden infinite-dimensional symmetries of wave equations
by: I. Yehorchenko, et al.
Published: (2022)
by: I. Yehorchenko, et al.
Published: (2022)
Conditional and hidden infinite-dimensional symmetries of wave equations
by: Yehorchenko , I. A., et al.
Published: (2022)
by: Yehorchenko , I. A., et al.
Published: (2022)
The solution of an infinite system of ternary differential equations
by: G. Ibragimov, et al.
Published: (2022)
by: G. Ibragimov, et al.
Published: (2022)
Similar Items
-
Systems of essentially infinite-dimensional differential equations
by: Statkevych, V. M., et al.
Published: (2011) -
Cauchy problem for the essentially infinite-dimensional heat equation on a surface in a Hilbert space
by: Bogdanskii, Yu. V., et al.
Published: (1995) -
Investigation of solutions of boundary-value problems with essentially infinite-dimensional elliptic operator
by: Statkevych, V. M., et al.
Published: (2012) -
Dirichlet problem for the Poisson equation with an essentially infinite-dimensional elliptic operator
by: Bogdanskii, Yu. V., et al.
Published: (1994) -
Cauchy problem for an essentially infinite-dimensional parabolic equation with variable coefficients
by: Bogdanskii, Yu. V., et al.
Published: (1994)