Results 31 to 40 of about 13,731,074 (335)
Positive Solutions of Advanced Differential Systems [PDF]
The Scientific World Journal, 2013 We study asymptotic behavior of solutions of general advanced differential systems , where F : Ω → ℝn is a continuous quasi‐bounded functional which satisfies a local Lipschitz condition with respect to the second argument and Ω is a subset in , , yt∈, and yt(θ) = y(t + θ), θ ∈ [0, r]. A monotone iterative method is proposed to prove the existence of a
Mária Kúdelčíková, Josef Diblík
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On the positivity of solutions of systems of stochastic PDEs [PDF]
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2012 AbstractWe study the positivity of solutions of a class of semi‐linear parabolic systems of stochastic partial differential equations by considering random approximations. For the family of random approximations we derive explicit necessary and sufficient conditions such that the solutions preserve positivity.
Messoud Efendiev +3 more
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Positive solution for a fractional singular boundary value problem with p-Laplacian operator
, 2018 In this paper, we consider a fractional singular three-point boundary value problem with p-Laplacian operator. The nonlinearity f(t,u)$f(t,u)$ may be singular at t=0,1$t = 0,1$ and u=0$u = 0$. Some properties of the associated Green function are obtained.
F. Yan, Mingyue Zuo, Xinan Hao
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A note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems [PDF]
Opuscula Mathematica, 2014 We deal with the existence and the continuous dependence of solutions on functional parameters for boundary valued problems containing Sturm-Liouville equation.
Aleksandra Orpel
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Positive solutions of a renewal equation [PDF]
Annales Polonici Mathematici, 1992 Take the scalar integral equation \(x(t)=\int_ R h(t-s)f(s,x(s))ds\), \(t\in R\), and assume that \(h\geq 0\), \(h\in L^ 1(R)\), and that there exist positive constants \(M\), \(K\), \(\varepsilon\) such that \(0\leq f(t,x)\leq M\); \(t\in R\), \(x\in [0,\infty)\); \(f(t,x)\geq Kx\), \(t\in R\), \(x\in[0,\varepsilon)\), \(K\int_ R h(s)ds>1\).
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Advances in Differential Equations, 2016 We study the basic dynamical features of a stochastic SIR epidemic model incorporating media coverage. Firstly, we discuss the positivity and boundedness of solutions of the model within deterministic environment and then investigate the asymptotical ...
Miaochan Zhao, Huitao Zhao
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Positive solutions of positive linear systems
Linear Algebra and its Applications, 1985 The Volterra-Lotka equations \(dx_ i/dt=x_ i(b_ i-\Sigma a_{ij}x_ j),\) \(b_ i>0\), \(a_{ii}>0\), \(a_{ij}\geq 0\) correspond to an ecosystem with interspecies and intraspecies competition. A steady state solution \(X^*\) exists if \(b_ i-\Sigma a_{ij}X^*_ j=0\).
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On the positivity of solutions to the Smoluchowski equations [PDF]
Mathematika, 1995 The paper deals with positivity properties of solutions to Smoluchowski's coagulation equations, \[ \dot c_j = {1 \over 2} \sum^{j - 1}_{k = 1} a_{j - k,k} c_{j - k} c_k - c_j \sum^\infty_{k = 1} a_{j,k} c_k, \quad j = 1,2, \dots. \] It is proved that, with positive coefficients \(a_{j,k}\), the set \({\mathcal I} (t) : = \{j : c_j(t) > 0\}\) is ...
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Global Behavior of a Higher Order Fuzzy Difference Equation
Mathematics, 2019 Our aim in this paper is to investigate the convergence behavior of the positive solutions of a higher order fuzzy difference equation and show that all positive solutions of this equation converge to its unique positive equilibrium under appropriate ...
Guangwang Su, Taixiang Sun, Bin Qin
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Positive solutions of integrodifferential equations [PDF]
International Journal of Stochastic Analysis, 1992 Integrodifferential equations of the forms urn:x-wiley:20903332:media:ista345783:ista345783-math-0001 are considered, where K ∈ C([0, ∞), [0, ∞)), p ∈ C([0, ∞), [0, ∞)) and q ∈ C((−∞, ∞), [0, ∞)). Necessary conditions and also sufficient conditions for the existence of positive solutions are established.
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