Results 81 to 90 of about 390,420 (212)

The Global Existence of Nonlinear Evolutionary Equation with Small Delay [PDF]

, 2012
We investigate the global existence of the delayed nonlinear evolutionary equation ∂tu+Au=f(u(t),u(t−τ)). Our work space is the fractional powers space Xα. Under the fundamental theorem on sectorial operators, we make use of the fixed-point principle to
Xunwu Yin
core   +1 more source

Asymptotic Analysis and Blow-Up of Solution for a q-Kirchhoff-Type Equation with Nonlinear Boundary Damping and Source Terms with Variable Exponents

Mathematics
In this study, we examine a q-Kirchhoff-type equation defined on a bounded domain, incorporating nonlinear boundary damping and source terms with variable exponents. Assuming appropriate conditions on the initial data and the variable exponent functions,
Nouri Boumaza, Billel Gheraibia, Zayd Hajjej, Hongwei Zhang, Said Mesloub   +4 more
doaj   +1 more source

ON THE EXISTENCE OF GLOBAL SOLUTIONS OF EVOLUTION EQUATIONS

Demonstratio Mathematica, 2004
Summary: A sufficient condition for the existence of global solutions of evolution equations is proved. In the proof a modification of the Bihari type integral inequality to the case of a weakly singular nonlinear integral inequality is used. An application to a reaction-diffusion problem is given.
openaire   +2 more sources

Local Existence and Regularity of Mild Solutions for Hadamard Fractional Semilinear Integro-Differential Equations with Compact Semigroups

Axioms
We investigate the local well-posedness of semilinear fractional integro-differential equations in Banach spaces with the Hadamard fractional derivative.
Ahmad Al-Omari, Mohammad H. M. Rashid
doaj   +1 more source

Existence of Equilibrium in Incomplete Markets with Non-Ordered Preferences [PDF]

In this paper we extend the results of recent studies on the existence of equilibrium in finite dimensional asset markets for both bounded and unbounded economies. We do not assume that the individual's preferences are complete or transitive.
Erkan Yalcin, Duygu Yengin
core  

Global Solution and Stability of a Haptotaxis Mathematical Model for Complex MAP

Mathematics
A critical function of polymeric matrices in biological systems is to exert selective control over the transport of thousands of nanoparticulate species.
Hongbing Chen, Fengling Jia
doaj   +1 more source

Global existence and stability of some semilinear problems [PDF]

, 2000
summary:We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known ...
Tatar, N.-E., Kirane, M.
core  

A coupled chemotaxis-fluid model: Global existence

, 2011
We consider a model arising from biology, consisting of chemotaxis equations coupled to viscous incompressible fluid equations through transport and external forcing.
Lorz, Alexander, Liu, Jian-Guo
core   +1 more source

Global existence on nonlinear Schrödinger-IMBq equations [PDF]

, 2005
In this paper, we consider the Cauchy problem of Schr\"{o}dinger-IMBq equations in $\mathbb{R}^n, n \ge 1$. We first show the global existence and blowup criterion of solutions in the energy space for the 3 and 4 dimensional system without power ...
Ozawa, Tohru, Cho, Yonggeun
core   +1 more source

Existence of global solutions to reaction-diffusion systems with nonhomogeneous boundary conditions via a Lyapunov functional

Electronic Journal of Differential Equations, 2002
Most publications on reaction-diffusion systems of $m$ components ($mgeq 2$) impose $m$ inequalities to the reaction terms, to prove existence of global solutions (see Martin and Pierre [10 ] and Hollis [4]).
Said Kouachi
doaj