[PDF] Top 20 Existence of positive stationary solutions for a reaction-diffusion system
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Existence of positive stationary solutions for a reaction-diffusion system
... some existence results for () using the bi- furcation techniques in [, ...the existence, nonexistence, multiplicity, and qualitative behavior of the solutions in the semiclassical limit for the ... See full document
10
Existence of non constant positive stationary solutions of the shadow predator prey systems with Allee effect
... predator-prey system with a strong Allee effect in ...the existence and non-existence of the non-constant positive stationary solutions of the system in the one dimensional ... See full document
7
Necessary conditions for local and global existence to a reaction diffusion system with fractional derivatives
... is the trivial one, that is, u ≡ v ≡ 0, while, in a recent paper (see [7]), the authors study the system (FDS) and they find a bound on N leading to the absence of global nonnegative solutions. More ... See full document
8
A necessary and sufficient condition for global existence for a quasilinear reaction diffusion system
... and therefore (u, v) is a generalized solution of (1.1). This completes the proof. An open problem. We note that there is an important difference regarding the initial data in the hypothesis of Theorem 2.1, the smooth ... See full document
10
Non constant Positive Steady State of the Predator Prey Mutualist System with Diffusion
... a reaction-diffusion system of ...constant positive steady state of (1.2). Moreover, the existence of positive steady-state solutions of reactive diffusion ... See full document
6
Blow up solutions to the Cauchy problem of a fractional reaction diffusion system
... Kaplan studied for the first time in a seminal paper [] the blow-up phenomenon of reaction-diffusion equations in bounded domains. He showed that for a convex source term f (u) satisfying (.) diffusion cannot ... See full document
18
Qualitative Properties of Solutions of a Doubly Nonlinear Reaction Diffusion System with a Source
... of solutions of system (1) are studied based on the self-similar and approximately self-similar ...the existence of solution with finite ...fast diffusion case ( m i + − < , = , p 3 0 i 1 2 ... See full document
10
Qualitative Analysis of a Predator prey Model with Weak Allee Effect
... tor–prey system is considered under the assumption that prey growth is damped by the strong Allee ...a reaction-diffusion system with Allee effect. The existence, uniqueness, and ... See full document
7
Existence of reaction diffusion convection waves in unbounded strips
... is positive because of the zero eigenvalue related to the invariance of solutions with respect to trans- lation in ...of solutions of the homogeneous formally adjoint ... See full document
25
Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations
... Convection reaction-diffusion equations arised from various fields of applied sciences and have received extensive attentions during the past several decades and many topics in the mathematical analysis are well ... See full document
13
Existence of Positive Periodic Solutions of Two Species Discrete Lotka-Volterra System with Diffusion
... One of the extensive interactions among species is the predator-prey interconnection, and it has been broadly investi- gated, because of its global existence. Predator-prey models are agreeably the most crucial ... See full document
11
Global existence and boundedness in a reaction–diffusion–taxis system with three species
... In order to obtain the global existence of non-negative solutions for system (1.1), we recall some preliminary estimates which will be used in our proof. First we review some well-known estimates for ... See full document
10
Invariant regions and global existence of solutions for reaction diffusion systems with a general full matrix
... the existence of global solutions (eventually uniformly bounded in time) using a novel approach that involved the use of a Lyapunov function for system ...global existence of solutions ... See full document
10
Preserving invariance properties of reaction diffusion systems on stationary surfaces
... to general systems of arbitrarily many reaction–diffusion equations. In analogy with the continuous setting (see Chueh et al., 1977), in Theorem 3.3 we showed that under the sole assumption of Delaunay ... See full document
36
The Existence and Multiplicity of Solutions for Singular Boundary Value Systems with p Laplacian
... the existence of positive solutions for the fourth-order boundary value problem system with p-Laplacian ...The existence of single or multiple positive solutions for the ... See full document
6
Existence and multiplicity of positive solutions for a system of fractional boundary value problems
... the existence and multiplicity of positive solutions of problem ...a positive solution of problem (S)-(BC) we mean a pair of functions (u, v) ∈ C([, ]) × C([, ]) satisfying (S) and (BC) ... See full document
17
Existence and multiplicity of positive solutions for a system of fractional differential equation with parameters
... the existence of positive solutions of boundary value problems for nonlinear differential equations of fractional order; for details, see ...the existence of positive solutions to ... See full document
12
Existence and global stability of positive periodic solutions of a discrete delay competition system
... The existence and the global stability of positive periodic solutions of a discrete competition model is ...the existence and the global stability of positive periodic solutions ... See full document
13
Existence of positive solutions to a non-positive elastic beam equation with both ends fixed
... Let B : E ® E be a positive completely continuous linear operator, r(B) a spectral radius of B, B* the conjugated operator of B, and P* the conjugated cone of P. Since P ⊂ E is a generating cone, according to the ... See full document
10
Existence of positive solutions for a system of Caputo fractional difference equations depending on parameters
... This paper is organized as follows. In Section , we provide basic definitions and demon- strate some lemmas in order to prove our main results. In Section , we establish some results for the existence of at least ... See full document
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