Results 41 to 50 of about 152 (147)

On the existence of time-periodic solutions of nonlinear parabolic differential equations with nonlocal boundary conditions of the Bitsadze-Samarskii type

Современная математика: Фундаментальные направления, 2023
We study a nonlinear parabolic differential equation in a bounded multidimensional domain with nonlocal boundary conditions of the Bitsadze-Samarskii type. We prove existence theorems for a periodic in time generalized solution.
O. V. Solonukha
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Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kien, Bui Trong, Wong, Ngai Ching, Yao, Jen-Chih   +2 more
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Inertial Method for Solving Pseudomonotone Variational Inequality and Fixed Point Problems in Banach Spaces

Axioms, 2023
In this paper, we introduce a new iterative method that combines the inertial subgradient extragradient method and the modified Mann method for solving the pseudomonotone variational inequality problem and the fixed point of quasi-Bregman nonexpansive ...
Rose Maluleka, Godwin Chidi Ugwunnadi, Maggie Aphane   +2 more
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Ranges of densely defined generalized pseudomonotone perturbations of maximal monotone operators

Journal of Differential Equations, 2003
In a reflexive Banach space, the authors obtain a general ``ranges of sums'' result involving a maximal monotone operator \(A\) and a densely defined finitely continuous quasibounded generalized pseudomonotone operator \(B\). This result improves [\textit{F. E. Browder}, J. Funct. Anal.
Guan, Z., Kartsatos, A.G., Skrypnik, I.V.   +2 more
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Gradient and Parameter Dependent Dirichlet (p(x),q(x))-Laplace Type Problem

Mathematics, 2022
We analyze a Dirichlet (p(x),μq(x))-Laplace problem. For a gradient dependent nonlinearity of Carathéodory type, we discuss the existence, uniqueness and asymptotic behavior of weak solutions, as the parameter μ varies on the non-negative real axis.
Kholoud Saad Albalawi, Nadiyah Hussain Alharthi, Francesca Vetro   +2 more
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A Lewy-Stampacchia inequality in variable Sobolev spaces for pseudomonotone operators [PDF]

Differential Equations & Applications, 2014
The authors prove the Lewy-Stampacchia inequality for a nonlinear pseudomonotone elliptic operator in the variable exponent Sobolev spaces. The proof is based on a penalization method.
Mokrane, A., Vallet, G.
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Eigenvalue results for pseudomonotone perturbations of maximal monotone operators

Open Mathematics, 2013
Abstract Let X be an infinite-dimensional real reflexive Banach space such that X and its dual X* are locally uniformly convex. Suppose that T: X⊃D(T) → 2X* is a maximal monotone multi-valued operator and C: X⊃D(C) → X* is a generalized pseudomonotone quasibounded operator with L ⊂ D(C), where L is a dense subspace of X.
Kim In-Sook, Bae Jung-Hyun
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An Inertial Subgradient Extragradient Method for Approximating Solutions to Equilibrium Problems in Hadamard Manifolds

Axioms, 2023
In this work, we are concerned with the iterative approximation of solutions to equilibrium problems in the framework of Hadamard manifolds. We introduce a subgradient extragradient type method with a self-adaptive step size. The use of a step size which
Olawale Kazeem Oyewole, Simeon Reich
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The projection operator in a Hilbert space and its directional derivative. Consequences for the theory of projected dynamical systems

Journal of Function Spaces and Applications, 2004
In the first part of this paper we present a representation theorem for the directional derivative of the metric projection operator in an arbitrary Hilbert space.
George Isac, Monica G. Cojocaru
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Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems

Современная математика: Фундаментальные направления, 2023
In this survey, we study boundary-value problems for nonlinear differential-difference equations of elliptic and parabolic types, as well as related nonlinear equations with nonlocal boundary conditions.
O. V. Solonukha
doaj   +1 more source