Results 31 to 40 of about 88 (74)
Existence Results for Solutions of Nonlinear Fractional Differential Equations
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 This paper deals with theoretical and constructive existence results for solutions of nonlinear fractional differential equations using the method of upper and lower solutions which generate a closed set. The existence of solutions for nonlinear fractional differential equations involving Riemann‐Liouville differential operator in a closed set is ...
Ali Yakar +2 more
wiley +1 more source
Differential-operator inclusions and multivariation inequalities with pseudomonotone maps [PDF]
, 2010 Розглянуто диференціально-операторні включення та мультиваріаційні нерівності в банахових просторах з квазімонотонними відображеннями. Досліджено функціонально-топологічні властивості розв’язуючого оператора.
Касьянов, П.О.
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Existence of Solutions for a Quasilinear Reaction Diffusion System
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 The degenerate reaction diffusion system has been applied to a variety of physical and engineering problems. This paper is extended the existence of solutions from the quasimonotone reaction functions (e.g., inhibitor‐inhibitor mechanism) to the mixed quasimonotone reaction functions (e.g., activator‐inhibitor mechanism).
Canrong Tian, D. Anderson
wiley +1 more source
A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality Problems
Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 Under the condition that the values of mapping F are evaluated approximately, we propose a proximal analytic center cutting plane algorithm for solving variational inequalities. It can be considered as an approximation of the earlier cutting plane method, and the conditions we impose on the corresponding mappings are more relaxed.
Jie Shen, Li-Ping Pang, Jen Chih Yao
wiley +1 more source
Advances in Operations Research, Volume 2012, Issue 1, 2012., 2012 We introduce the notion of relaxed (ρ‐θ)‐η‐invariant pseudomonotone mappings, which is weaker than invariant pseudomonotone maps. Using the KKM technique, we establish the existence of solutions for variational‐like inequality problems with relaxed (ρ‐θ)‐η‐invariant pseudomonotone mappings in reflexive Banach spaces. We also introduce the concept of (ρ‐
N. K. Mahato +2 more
wiley +1 more source
An inertial Tseng algorithm for solving quasimonotone variational inequality and fixed point problem in Hilbert spaces [PDF]
In this paper, we propose an inertial method for solving a common solution to fixed point and Variational Inequality Problem in Hilbert spaces. Under some standard and suitable assumptions on the control parameters, we prove that the sequence generated
Narain, Ojen Kumar +2 more
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Stability and existence results for quasimonotone quasivariational inequalities in finite dimensional spaces [PDF]
, 2016 We study pseudomonotone and quasimonotone quasivariational inequalities in a finite dimensional space. In particular we focus our attention on the closedness of some solution maps associated to a parametric quasivariational inequality. From this study we
GIULI, MASSIMILIANO, CASTELLANI, MARCO
core
Cauchy problem for derivors in finite dimension
Electronic Journal of Differential Equations, 2001 In this paper we study the uniqueness of solutions to ordinary differential equations which fail to satisfy both accretivity condition and the uniqueness condition of Nagumo, Osgood and Kamke.
Jean-Francois Couchouron +2 more
doaj
On the positivity of semigroups of operators [PDF]
, 1998 summary:In a Banach space $E$, let $U(t)$ $\,(t>0)$ be a $C_0$-semigroup with generating operator $A$. For a cone $K\subseteq E$ with non-empty interior we show: $(\star)$ \quad $U(t)[K]\subseteq K$ $\,(t>0)$ holds if and only if $A$ is quasimonotone ...
Lemmert, Roland, Volkmann, Peter
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On the quasimonotonicity of a square linear operator with respect to a nonnegative cone [PDF]
, 1998 The question of when a square, linear operator is quasimonotone nondecreasing with respect to a nonnegative cone was posed for the application of vector Lyapunov functions in 1974. Necessary conditions were given in 1980, which were based on the spectrum
Beaver, Philip
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