Results 51 to 60 of about 636,419 (206)

Analysis of Stokes system with solution-dependent subdifferential boundary conditions

Fixed Point Theory and Algorithms for Sciences and Engineering, 2021
We study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmonotone version of the nonlinear Navier–Fujita
Jing Zhao, Stanisław Migórski, Sylwia Dudek   +2 more
doaj   +1 more source

Global attractors for multivalued semiflows with weak continuity properties

, 2014
A method is proposed to deal with some multivalued semiflows with weak continuity properties. An application to the reaction-diffusion problems with nonmonotone multivalued semilinear boundary condition and nonmonotone multivalued semilinear source term ...
Kalita, P., Łukaszewicz, G.
core   +1 more source

Long-time Behavior of State Functions for Badyko Models [PDF]

, 2016
In this note we examine the long-time behavior of state functions for a climate energy balance model (Budyko Model) in the strongest topologies of the phase and the extended phase spaces. Strongest convergence results for all weak solutions are obtained.
Gluzman, Mark O., Gorban, Nataliia V., Kasyanov, Pavlo O., Tkachuk, Alla M., Глузман, Марк, Горбань, Наталія Володимирівна, Касьянов, Павло Олегович, Ткачук, Алла Миколаївна   +7 more
core   +1 more source

"The penalty method for generalized mixed variational-hemivariational inequality problems"

Carpathian Journal of Mathematics, 2022
"It is well known that many popular variational, quasi-variational, hemivariational inequalities and variational inclusions involving constraints in a Banach space to convert a fixed point problems for finding the solution of such problems. This paper is
Shih-sen Chang, Salahuddin, A. Ahmadini, L. xilinx Wang, G. Wang   +4 more
semanticscholar   +1 more source

Three Solutions for Inequalities Dirichlet Problem Driven by p(x)‐Laplacian‐Like

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
A class of nonlinear elliptic problems driven by p(x)‐Laplacian‐like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three‐critical‐point theorem, existence of three solutions of the problem is proved.
Zhou Qing-Mei, Ge Bin, Rodrigo Lopez Pouso   +2 more
wiley   +1 more source

Minimality properties of set-valued processes and their pullback attractors [PDF]

, 2014
We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect ...
Michele Coti, Piotr Kalita, Zelati
core   +1 more source

A Quasi-Variational-Hemivariational Inequality for Incompressible Navier-Stokes System with Bingham Fluid

Set-Valued and Variational Analysis
In this paper we examine a class of elliptic quasi-variational inequalities, which involve a constraint set and a set-valued map. First, we establish the existence of a solution and the compactness of the solution set.
Stanisław Migórski, Sylwia Dudek
semanticscholar   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian

, 2014
In this paper we study the nonlinear Dirichlet problem involving p(x)-Laplacian (hemivariational inequality) with nonsmooth potential. By using nonsmooth critical point theory for locally Lipschitz functionals due to Chang and the properties of ...
Barnaś, Sylwia
core   +1 more source

Existence and optimal control results for Caputo fractional delay Clark's subdifferential inclusions of order r∈(1,2) with sectorial operators

Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.
The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja, Velusamy Vijayakumar, Kalyana Chakravarthy Veluvolu, Anurag Shukla, Kottakkaran Sooppy Nisar   +4 more
wiley   +1 more source