Cover Image

Variational Ultraparabolic Inequalities

In a bounded domain of the space ℝ n +2, we consider variational ultraparabolic inequalities with initial condition. We establish conditions for the existence and uniqueness of a solution of this problem. As a special case, we establish the solvability of mixed problems for some classes of nonlinear...

Full description

Saved in:

Bibliographic Details
Date:	2004
Main Authors:	Lavrenyuk, S. P., Protsakh, N. P., Лавренюк, С. П., Процах, Н. П.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3870
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Mixed Problem for an Ultraparabolic Equation in Unbounded Domain
by: Lavrenyuk, S. P., et al.
Published: (2002)

Mixed problem for a nonlinear ultraparabolic equation that generalizes the diffusion equation with inertia
by: Lavrenyuk, S. P., et al.
Published: (2006)

Properties of solutions of a mixed problem for a nonlinear ultraparabolic equation
by: Protsakh, N. P., et al.
Published: (2009)

Inverse Problem for a Semilinear Ultraparabolic Equation with Unknown Right-Hand Side
by: Protsakh, N. P., et al.
Published: (2014)

Systems of parabolic variational inequalities without initial conditions
by: Lavrenyuk, S. P., et al.
Published: (1997)

Pseudoparabolic variational inequalities without initial conditions
by: Lavrenyuk, S. P., et al.
Published: (1998)

Mixed problem for a semilinear ultraparabolic equation in an unbounded domain
by: Lavrenyuk, S. P., et al.
Published: (2007)

Inverse Problem for a Semilinear Ultraparabolic Equation with Unknown Right-Hand Side
by: N. P. Protsakh
Published: (2014)

On certain nonlinear pseudoparabolic variational inequalities without initial conditions
by: Lavrenyuk, S. P., et al.
Published: (1999)

On a Parabolic Variational Inequality That Generalizes the Equation of Polytropic Filtration
by: Buhrii, O. M., et al.
Published: (2001)

Inverse problem for ultraparabolic equation with unknown function of a spatial variable in the right-hand side of equation
by: N. P. Protsakh
Published: (2013)

An inverse problem for a weakly nonlinear ultraparabolic equation with three unknown functions of different arguments in the right-hand side
by: N. P. Protsakh
Published: (2015)

On the maximum principle for ultraparabolic equations
by: Malyts’ka, H. P., et al.
Published: (1996)

On Some Noncoercive Variational Inequalities
by: Gallo, А., et al.
Published: (2001)

On Some Noncoercive Variational Inequalities
by: Gallo, А., et al.
Published: (2001)

On solvability of variational inequalities with discontinuous semimonotone operators
by: Pavlenko, V. N., et al.
Published: (1993)

Method of approximation of evolutionary inclusions and variational inequalities by stationary
by: Kasyanov, P.O., et al.
Published: (2005)

Some Pseudoparabolic Variational Inequalities with Higher Derivatives
by: Ptashnik, B. I., et al.
Published: (2002)

A Modified Extragradient Method for Variational Inequalities
by: S. V. Denisov, et al.
Published: (2017)

On solvability of the variational inequality with +-coercive multivalued mappings
by: Solonoukha, O.V.
Published: (1999)

Resonance elliptic variational inequalities with discontinuous nonlinearities of linear growth
by: Pavlenko, V. N., et al.
Published: (2011)

Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities
by: Pavlenko , V. N., et al.
Published: (2025)

Higher-order parabolic variational inequality in unbounded domains
by: Medvid’, I. M., et al.
Published: (2008)

Adaptive two-step Bregman method for variational inequalities
by: V. V. Semenov, et al.
Published: (2021)

A new hybrid method for solving variational inequalities
by: Yu. V. Malitsky, et al.
Published: (2014)

Modified extragradient method with Bregman divergence for variational inequalities
by: V. V. Semenov
Published: (2018)

A new hybrid method for solving variational inequalities
by: Malitsky, Yu.V., et al.
Published: (2014)

Варіаційні ультрапараболічні нерівності
by: Лавренюк, С.П., et al.
Published: (2004)

Задача Фур'є для ультрапараболічного рівняння
by: Лавренюк, С.П., et al.
Published: (2002)

Мішана задача для нелінійного ультрапараболічного рівняння, яке узагальнює рівняння дифузії з інерцією
by: Лавренюк, С.П., et al.
Published: (2006)

Мішана задача для ультрапараболічного рівняння в необмеженій області
by: Лавренюк, С.П., et al.
Published: (2002)

Hyperbolic Variational Inequality of the Third Order with Variable Exponent of Nonlinearity
by: Kholyavka, O. T., et al.
Published: (2014)

Convergence of the operator extrapolation method for variational inequalities in Banach spaces
by: V. V. Semenov, et al.
Published: (2022)

A variant of mirror descent method to solve variational inequalities
by: V. V. Semjonov
Published: (2017)

Hyperbolic Variational Inequality of the Third Order with Variable Exponent of Nonlinearity
by: O. T. Kholiavka
Published: (2014)

Convergence of solutions of variation inequalities with bilateral obstacles in perforated regions
by: Kovalevsky , A. A., et al.
Published: (1992)

The multivalued penalty method for evolution variational inequalities with λ₀-pseudomonotone multivalued maps
by: Kasyanov, P.O., et al.
Published: (2007)

Classical fundamental solutions of the Cauchy problem for ultraparabolic Kolmogorov type equations with two groups of spatial variables
by: S. D. Ivasyshen, et al.
Published: (2016)

On classical fundamental solutions of the Cauchy problem for ultraparabolic equations of Kolmogorov type with two groups of spatial variables
by: S. D. Ivasyshen, et al.
Published: (2016)

Attainability issue for optimal control problem in coefficients for degenerate parabolic variational inequality
by: N. V. Kasimova
Published: (2020)