Results 1 to 10 of about 2,703,249 (309)
A strong comparison principle for the $p$-Laplacian [PDF]
Proceedings of the American Mathematical Society, 2007 We consider weak solutions of the differential inequality of p-Laplacian type - Δpu - f(u) ≤-Δpv - f(v) such that u p - 1.
Paolo Roselli, Berardino Sciunzi
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A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities [PDF]
Advances in Nonlinear Analysis, 2015 We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
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Some remarks on the comparison principle in Kirchhoff equations [PDF]
Revista Matemática Iberoamericana, 2018 In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results.
Malcher Figueiredo, Giovany de Jesus +1 more
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On a comparison principle for Trudinger’s equation [PDF]
Advances in Calculus of Variations, 2020 Abstract We study the comparison principle for non-negative solutions of the equation
Lindgren, Erik, Lindqvist, Peter
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Comparison Principle for Weakly Coupled Cooperative Parabolic Systems with Delays
MathematicsIn this article, the validity of the comparison principle (CP) for weakly coupled quasi-linear cooperative systems with delays is proven. This is a powerful tool for studying the qualitative properties of the solutions. The CP is crucial in the proofs of
Georgi Boyadzhiev
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A COMPARISON OF VARIOUS ANALYTIC CHOICE PRINCIPLES [PDF]
The Journal of Symbolic Logic, 2021 AbstractWe investigate computability theoretic and descriptive set theoretic contents of various kinds of analytic choice principles by performing a detailed analysis of the Medvedev lattice of $\Sigma ^1_1$ -closed sets. Among others, we solve an open problem on the Weihrauch degree of the parallelization of the $\Sigma ^1_1$ -choice principle on ...
Paul-Elliot Anglès d'Auriac +1 more
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A new fixed-time stability criterion for fractional-order systems
AIMS Mathematics, 2022 In this work, we study the fixed-time stability of fractional-order systems. By virtue of the properties of Riemann-Liouville fractional derivative and the comparison principle, we derive a new fixed-time stability theorem for fractional-order systems ...
Yucai Ding, Hui Liu
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Comparison principles and applications to mathematical modelling of vegetal meta-communities
Mathematics in Engineering, 2022 This article partakes of the PEGASE project the goal of which is a better understanding of the mechanisms explaining the behaviour of species living in a network of forest patches linked by ecological corridors (hedges for instance).
Gauthier Delvoye +2 more
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Propagation dynamics in an SIRS model with general incidence functions
Mathematical Biosciences and Engineering, 2023 This paper studies the initial value problems and traveling wave solutions in an SIRS model with general incidence functions. Linearizing the infected equation at the disease free steady state, we can define a threshold if the corresponding basic ...
Wenhao Chen , Guo Lin, Shuxia Pan
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A comparison principle for large deviations [PDF]
Proceedings of the American Mathematical Society, 1988 If { μ n } \{ {\mu _n}\} and { ν n } \left \{ {{\nu _n}} \right \} are two sequences of probability measures on a separable metric space, we give ...
Naresh C. Jain, John R. Baxter
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