Results 41 to 50 of about 1,507 (161)

Existence Results for Constrained Quasivariational Inequalities

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
We deal with a constrained quasivariational inequality under a general form. We study existence of solutions in two situations depending on whether the set of constraints is bounded or possibly unbounded.
V. V. Motreanu, Rodrigo Lopez Pouso
wiley   +1 more source

Nonhomogeneous Hemivariational Inequalities with Indefinite Potential and Robin Boundary Condition

, 2017
We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the Clarke subdifferential of a locally Lipschitz integrand.
Papageorgiou, Nikolaos S., Repovš, Dušan D., Rădulescu, Vicenţiu D.   +2 more
core   +1 more source

Existence and controllability for stochastic evolution inclusions of Clarke's subdifferential type [PDF]

, 2015
In this paper, we investigate a class of stochastic evolution inclusions of Clarke's subdifferential type in Hilbert spaces. The existence of mild solutions and controllability results are given and proved by using stochastic analysis techniques ...
Li, Yunxiang, Lu, Liang
core   +2 more sources

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

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

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

Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)‐Laplacian

The Scientific World Journal, Volume 2013, Issue 1, 2013., 2013
A class of nonlinear Neumann problems driven by p(x)‐Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass theorem are used to prove the existence of at least two ...
Qing-Mei Zhou, A. Atangana, A. Kılıçman, S. C. O. Noutchie, S. S. Ray   +4 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

Minimax Results with Respect to Different Altitudes in the Situation of Linking

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
Consider a continuous function on a metric space. In the presence of linking between a compact pair and a closed set, depending on the different behaviors of the function on the linking sets, we establish minimax results guaranteeing existence of Palais‐Smale sequences or providing gradient estimates. Our approach relies on deformation techniques.
V. V. Motreanu, Kanishka Perera
wiley   +1 more source