Results 21 to 30 of about 17,377,748 (367)
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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Advances in Differential Equations, 2019 In this article, we consider a study of a general class of nonlinear singular fractional DEs with p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers–Ulam (HU) stability. To proceed, we use classical fixed point theorem
H. Khan +4 more
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Classification of positive solutions of heat equation with supercritical absorption [PDF]
, 2013 Let $q\geq 1+\frac{2}{N}$. We prove that any positive solution of (E) $\prt_t u-\xD u+u^q=0$ in $\mathbb{R}^N\times(0,\infty)$ admits an initial trace which is a nonnegative Borel measure, outer regular with respect to the fine topology associated to the
Gkikas, Konstantinos, Veron, Laurent
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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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Mathematical Modelling and Analysis, 2018 In this paper, we focus on the iterative scheme and error estimation of positive solutions for a class of p-Laplacian fractional order differential equation subject to Riemann-Stieltjes integral boundary condition.
Xinguang Zhang +4 more
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On the maximum value of ground states for the scalar field equation with double power nonlinearity [PDF]
, 2009 We evaluate the maximum value of the unique positive solution to semilinear elliptic equations with double power nonlinearities. It is known that a positive solution to this problem exists under some condition.Moreover, Ouyang and Shi in 1998 found that ...
Kawano, Shinji
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Existence of positive solution to Kirchhoff-Schrödinger-Poisson system with strong singular term
Journal of Mathematics and Physics, 2019 In this paper, we consider the existence of positive solution to the Kirchhoff-Schrodinger-Poisson system with strong singularity. By using the variational method, the necessary and sufficient condition for the existence of a solution is obtained.
Qi S. Zhang
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A note on the radial solutions for the supercritical Henon equation [PDF]
, 2007 We prove the existence of a positive radial solution for the H\'enon equation with arbitrary growth. The solution is found by means of a shooting method and turns out to be an increasing function of the radial variable. Some numerical experiments suggest
Adimurthi +19 more
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Right focal boundary value problems for difference equations [PDF]
Opuscula Mathematica, 2010 An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete ...
Johnny Henderson +3 more
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Existence of a positive solution for a singular system [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2010 We show the existence and non-existence of positive solutions to a system of singular elliptic equations with the Dirichlet boundary condition.
Da Silva Montenegro, Marcelo +1 more
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