Cover Image

Probabilistic weak solutions for nonlinear stochastic evolution problems involving pseudomonotone operators

UDC 519.21 We study an important class of stochastic nonlinear evolution problems with pseudomonotone elliptic parts and establish the existence of probabilistic weak (or martingale) solutions. No solvability theory has been developed so far for these equations despite numerous works involving vario...

Full description

Saved in:

Bibliographic Details
Date:	2022
Main Authors:	Ali, Z. I., Sango, M.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2022
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2286
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

Probabilistic weak solutions for nonlinear stochastic evolution problems involving pseudomonotone operators
by: Z. I. Ali, et al.
Published: (2022)

Stochastic Navier–Stokes variational inequalities with unilateral boundary conditions: probabilistic weak solvability
by: Sango, M., et al.
Published: (2023)

Stochastic Navier–Stokes variational inequalities with unilateral boundary conditions: probabilistic weak solvability
by: M. Sango
Published: (2023)

Periodic solutions of nonlinear evolution equations with Wλ₀-pseudomonotone maps
by: Kasyanov, P.O., et al.
Published: (2006)

Probabilistic representation of quantum evolutions
by: Gikhman, Il. I., et al.
Published: (1992)

Differential-operator inclusions in Banach spaces with W-pseudomonotone maps
by: Kasyanov, P.O., et al.
Published: (2006)

Evolution inequalities with noncoercive w λ 0 -pseudomonotone volterra-type mappings
by: Kasyanov, P. O., et al.
Published: (2008)

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

On solvability for evolutionary variational inequality with set-valued generalized pseudomonotone operators
by: Solonukha, O.
Published: (2003)

Impulsive differential inclusions involving evolution operators in separable Banach spaces
by: Benchohra, M., et al.
Published: (2012)

Weakly nonlinear boundary-value problems for operator equations with pulse influence
by: Boichuk, О. A., et al.
Published: (1997)

Impulsive differential inclusions involving evolution operators in separable Banach spaces
by: Benchohra, M., et al.
Published: (2012)

A probabilistic representation for the solution of one problem of mathematical physics
by: Portenko, N.I.
Published: (2000)

A Probabilistic Representation for the Solution of One Problem of Mathematical Physics
by: Portenko, N. I., et al.
Published: (2000)

Weakly nonlinear boundary-value problems for operator equations in Banach spaces
by: V. P. Zhuravlov
Published: (2021)

Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source)
by: Mel'nik, S. A., et al.
Published: (2002)

On a Weak Solution of an Equation for an Evolution Flow with Interaction
by: Karlikova, M. P., et al.
Published: (2005)

$S$-weakly prime ideals in noncommutative rings
by: Çay, Hatice, et al.
Published: (2026)

On the approximate solution of weakly nonlinear boundary-value problems by the Newton – Kantorovich method
by: A. A. Boichuk, et al.
Published: (2020)

On weak convergence of solutions of random perturbed evolution equations
by: Kolomiets, Yu. V., et al.
Published: (1995)

Linear optimization problems on permutations under probabilistic uncertainty: properties and solution
by: O. O. Yemets, et al.
Published: (2016)

An example of a stochastic differential equation with the property of weak non-uniqueness of a solution
by: Kopytko, B.I., et al.
Published: (2006)

Conditions of solvability of the nonlocal boundary-value problem for a differential-operator equation with weak nonlinearity
by: V. S. Ilkiv, et al.
Published: (2021)

Probabilistic properties of electrical characteristics of capacitor charge circuit with stochastic active resistanc
by: A. A. Shcherba, et al.
Published: (2018)

The decomposition of a solution of the quasilinear stochastic parabolic equation with weak source
by: Melnik, S.
Published: (2007)

On random measures on spaces of trajectories and strong and weak solutions of stochastic equations
by: Dorogovtsev, A. A., et al.
Published: (2004)

Construction of probabilistic solutions of the Boltzmann equation
by: Virchenko, Yu.P., et al.
Published: (2007)

On the existence of initial values of solutions of weakly nonlinear parabolic equations
by: Skrypnik, I. I., et al.
Published: (1993)

Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
by: Anco, S.C., et al.
Published: (2011)

Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
by: Anco, S.C., et al.
Published: (2011)

One class of multidimensional stochastic differential equations having no property of weak uniqueness of a solution
by: Aryasova, O.V., et al.
Published: (2005)

A family of doubly stochastic matrices involving Chebyshev polynomials
by: Ahmed, T., et al.
Published: (2019)

Weak invariance principle for solutions of stochastic recurrence equations in a banach space
by: Koval, V. A., et al.
Published: (1995)

Some commutativity criteria for prime rings with involution involving symmetric and skew symmetric elements
by: Dar, N. A., et al.
Published: (2023)

On existence of solution of the Cauchy problem for nonlinear stochastic partial differential-difference equations of neutral type
by: V. K. Yasynskyi, et al.
Published: (2021)

Problem with nonlocal conditions for weakly nonlinear hyperbolic equations
by: Goi, T. P., et al.
Published: (1997)

Existence of positive solutions for a population model involving nonlocal operator
by: S. Shakeri
Published: (2021)

About optimization problems with probabilistic uncertainty
by: O. A. Emets, et al.
Published: (2014)

Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators
by: Nguen Byong, et al.
Published: (2005)

Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators
by: Vu, Quang Hung, et al.
Published: (2005)