Results 21 to 30 of about 1,598 (299)
On nonlinear mappings of monotone type homotopic to odd operators
Journal of Functional Analysis, 1972 AbstractLet A be a (nonlinear) mapping of monotone type from the real Banach space X into its conjugate space X∗. The solvability of the functional equation Au = 0 in a given open subset of X is investigated under the assumption that A = A0 is homotopic to an odd mapping A1. The same problem is then studied for A of the form A = T + B, with T a maximal
Hess, Peter
openaire +3 more sources
An initial boundary value problem for the Boussinesq equation in a Trapezoid [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper considers an initial boundary value problem for a one-dimensional Boussinesq-type equation in a domain, that is, a trapezoid. Using the methods of the theory of monotone operators, we establish theorems on their unique weak solvability in ...
M.T. Jenaliyev +3 more
doaj +2 more sources
Korovkin-Type Theorems for Weakly Nonlinear and Monotone Operators
Mediterranean Journal of Mathematics, 2023 In this paper we prove analogues of Korovkin's theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions of several variables. Our results concern the convergence almost everywhere, the convergence in measure and the convergence in $L^{p}$-norm. Several results illustrating the theory are also included.
Sorin G. Gal, Constantin P. Niculescu
openaire +2 more sources
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators [PDF]
, 2021 We study the vacuum distribution, under an appropriate scaling, of a family of partial sums of nonsymmetric position operators on weakly monotone and monotone Fock spaces, respectively.
Crismale, Vitonofrio +2 more
core +1 more source
Nonlinear equations with weighted potential type operators in Lebesgue spaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 By method of monotone operators, existence and uniqueness theorems are proved for some classes of nonlinear equations with weighted potential type operators in Lebesgue spaces.
S. N. Askhabov
doaj +3 more sources
Journal of Inequalities and Applications, 2021 In this paper, we are concerned with a kind of tempered fractional differential equation Riemann–Stieltjes integral boundary value problems with p-Laplacian operators.
Bibo Zhou, Lingling Zhang
doaj +1 more source
A double phase equation with convection
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a double phase problem with a gradient dependent reaction (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a nontrivial, positive, bounded solution.
Zhenhai Liu, Nikolaos Papageorgiou
doaj +1 more source
Stability and Monotonicity of Lotka–Volterra Type Operators [PDF]
Qualitative Theory of Dynamical Systems, 2016 17 ...
Mukhamedov, Farrukh, Saburov, Mansoor
openaire +2 more sources
Advances in Nonlinear Analysis, 2020 In this work we investigate dynamical systems designed to approach the solution sets of inclusion problems involving the sum of two maximally monotone operators.
Boţ Radu Ioan +3 more
doaj +1 more source
Algorithms for Approximating Solutions of Split Variational Inclusion and Fixed-Point Problems
Mathematics, 2023 In this paper, the split fixed point and variational inclusion problem is considered. With the help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative algorithm is proposed for solving this split problem in which ...
Li-Jun Zhu, Yonghong Yao
doaj +1 more source