Results 41 to 50 of about 1,419 (140)
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 +2 more
wiley +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.
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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
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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 +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 +4 more
wiley +1 more source
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 +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
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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
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A Quasistatic Contact Problem for Viscoelastic Materials with Slip‐Dependent Friction and Time Delay
Mathematical Problems in Engineering, Volume 2012, Issue 1, 2012., 2012 A mathematical model which describes an explicit time‐dependent quasistatic frictional contact problem between a deformable body and a foundation is introduced and studied, in which the contact is bilateral, the friction is modeled with Tresca’s friction law with the friction bound depending on the total slip, and the behavior of the material is ...
Si-sheng Yao +2 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
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