Results 21 to 30 of about 2,146,074 (336)
On the positivity of solutions to the Smoluchowski equations [PDF]
Mathematika, 1995 The dynamics of cluster growth can be modelled by the following infinite system of ordinary differential equations, first proposed by Smoluchowski, [8], where cj=cj(t) represents the physical concentration of j-clusters (aggregates of j identical particles), aj,k=aj,k≥0 are the time-independent coagulation coefficients, measuring the effectiveness of ...
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On Positive Solutions for Some Nonlinear Semipositone Elliptic Boundary Value
Nonlinear Analysis, 2006 This study concerns the existence of positive solutions to classes of boundary value problems of the form −∆u = g(x,u), x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where ∆ denote the Laplacian operator, Ω is a smooth bounded domain in RN (N ≥ 2) with ∂Ω of class C2, and ...
G. A. Afrouzi, S. H. Rasouli
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Existence of Positive Solution for a Fourth-order Differential System with Variable Coefficients [PDF]
Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș, 2015 This paper investigates the existence of positive solutions for a fourth-order differential system using a fixed point theorem of cone expansion and compression type. The two main results give sufficient conditions to insure at least one and at least two
Béla Kovács +2 more
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Positive solutions for the fractional Schrödinger equations with logarithmic and critical nonlinearities [PDF]
arXiv, 2021 In this paper, we study a class of fractional Schr\"{o}dinger equations involving logarithmic and critical nonlinearities on an unbounded domain, and show that such an equation with positive or sign-changing weight potentials admits at least one positive ground state solution and the associated energy is positive (or negative).
arxiv
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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Electronic Research Archive, 2023 In this paper, we show the positive solutions set for one-dimensional $ p $-Laplacian problem with sign-changing weight contains a reversed $ S $-shaped continuum.
Liangying Miao, Man Xu, Zhiqian He
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Uniqueness, symmetry and convergence of positive ground state solutions of the Choquard type equation on a ball [PDF]
arXiv, 2022 This paper is concerned with the qualitative properties of the positive ground state solutions to the nonlocal Choquard type equation on a ball $B_R$. First, we prove the radial symmetry of the positive ground state solutions by using Talenti's inequality.
arxiv
Positive Definite Solutions of the Nonlinear Matrix Equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ [PDF]
Applied Mathematics and Computation, 219(14): 7377-7391, 2013, 2012 This paper is concerned with the positive definite solutions to the matrix equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ where $X$ is the unknown and $A$ is a given complex matrix. By introducing and studying a matrix operator on complex matrices, it is shown that the existence of positive definite solutions of this class of nonlinear matrix equations is ...
arxiv +1 more source
Positive solutions of positive linear systems
Linear Algebra and its Applications, 1985 AbstractEasily verifiable sufficient conditions are obtained for the existence of a positive solution (componentwise) of a linear nonhomogeneous system of equations with positive coefficients.
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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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