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Positive Solutions of Advanced Differential Systems [PDF]
The Scientific World Journal, 2013 We study asymptotic behavior of solutions of general advanced differential systems y˙(t)=F(t,yt), 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 ℝ×
Josef Diblík, Mária Kúdelčíková
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On Positive Solutions of the Heat Equation [PDF]
Nagoya Mathematical Journal, 1967 Consider the positive and twice continuously differentiable solutions u of the heat equationin an open t-strip Ω = Rn×(0,T) for some T>0, where Rn is the n-dimensional Euclidean space.In this note, we prove a theorem of Fatou type on u and, as its application, the uniqueness theorem for the Cauchy problem of ( 1 ).
Masasumi Kato
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Algebraic Systems with Positive Coefficients and Positive Solutions
Mathematics, 2022 The paper is devoted to the existence, uniqueness and nonuniqueness of positive solutions to nonlinear algebraic systems of equations with positive coefficients.
Ana Maria Acu +2 more
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Positive Solutions of Positive Linear Equations [PDF]
Proceedings of the American Mathematical Society, 1972 Let B B be a real vector lattice and a Banach space under a semimonotonic norm. Suppose T T is a linear operator on B B which is positive and eventually compact, y y is a positive vector, and λ \lambda is a positive real. It is shown that (
Paul D. Nelson
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Positive solutions for nonvariational Robin problems
Asymptotic Analysis, 2018 We study a nonlinear Robin problem driven by the $p$-Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of ...
Papageorgiou, Nikolaos S. +2 more
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On the positive solutions of the Matukuma equation [PDF]
Duke Mathematical Journal, 1993 where p > 1 and u > 0 is the gravitational potential with f R3 (uP/4n(1 + Ix12» dx representing the total mass. His aim was to improve a model given earlier in 1915 by A. S. Eddington. (See [NY1,2] for a more detailed history of these two models.) Since the Matukuma equation (1.1)is rotationally invariant, the structure of positive radial solutions u(r,
Yi Li
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Positive solutions for nonparametric anisotropic singular solutions [PDF]
Opuscula MathematicaWe consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation.
Nikolaos S. Papageorgiou +2 more
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Positive solutions of the diophantine equation
International Journal of Mathematics and Mathematical Sciences, 1982 Integral solutions of x3+λy+1−xyz=0 are observed for all integral λ. For λ=2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ=1.
W. R. Utz
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Positive solutions of the heat equation [PDF]
Bulletin of the American Mathematical Society, 1963 D. V. Widder
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Positive Solutions of Elliptic Kirchhoff Equations
Advanced Nonlinear Studies, 2017 We prove several existence results for some nonlinear elliptic Kirchhoff equations.
Ambrosetti Antonio, Arcoya David
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