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ComputationMost solutions of fractional differential equations (FDEs) that model real-world phenomena in various fields of science, industry, and engineering are complex and cannot be solved analytically.
Khalid Hattaf
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Comparison Principle for a Generalized Fast Marching Method [PDF]
SIAM Journal on Numerical Analysis, 2009 In \cite{CFFM06}, the authors have proposed a generalization of the classical Fast Marching Method of Sethian for the eikonal equation in the case where the normal velocity depends on space and time and can change sign. The goal of this paper is to propose a modified version of the Generalized Fast Marching Method proposed in \cite{CFFM06} for which we
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Note on a role for entire functions of the classes P and P*
International Journal of Mathematics and Mathematical Sciences, 1981 We use the B and B* operators of Levin on the Classes P and P* and a comparison principle to prove a Gauss-Lucas Theorem for differential operators. The connection with the determination of final sets for differential operators is then clarified.
C. L. Prather
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Comparison of Bayesian-Utilitarian and Maximin Principle Approaches
Human and Ecological Risk Assessment: An International Journal, 2005 The Precautionary Principle implies the adoption of a set of rules aimed at avoiding possible future harm associated with suspected, but not ascertained, risk factors. Several philosophical, economical and societal questions are implied by precaution-based public health decision making.
Pietro Comba +2 more
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On the Keldys-Fichera boundary-value problem for degenerate quasilinear elliptic equations
Electronic Journal of Differential Equations, 2002 We prove existence and uniqueness theorems for the Keldys-Fichera boundary-value problem using pseudo-monotone operators. The equation studied here is quasilinear, elliptic, and its set of degenerate points may be of non-zero measure.
Zu-Chi Chen, Benjin Xuan
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Parabolic Biased Infinity Laplacian Equation Related to the Biased Tug-of-War
Advanced Nonlinear Studies, 2019 In this paper, we study the parabolic inhomogeneous β-biased infinity Laplacian equation arising from the β-biased tug-of ...
Liu Fang, Jiang Feida
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The comparison of various club guessing principles
Annals of Pure and Applied Logic, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Qualitative analysis of a system of non-homogeneous doubly nonlinear parabolic equations
Қарағанды университетінің хабаршысы. Математика сериясыWe consider the qualitative properties of solutions to a coupled system of nonhomogeneous doubly nonlinear parabolic equations on the whole line with an exponentially varying density.
M.M. Aripov +4 more
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Existence and regularity of weak solutions for singular elliptic problems
Electronic Journal of Differential Equations, 2015 In this article we study the semilinear singular elliptic problem $$\displaylines{ -\Delta u = \frac{p(x)}{u^{\alpha}}\quad \text{in } \Omega \cr u = 0\quad \text{on } \partial\Omega,\quad u>0 \text{ in } \Omega, }$$ where $\Omega$ is a regular ...
Brahim Bougherara +2 more
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Solutions to nonlinear elliptic equations with a nonlocal boundary condition
Electronic Journal of Differential Equations, 2002 We study an elliptic equation and its evolution problem on a bounded domain with nonlocal boundary conditions. Eigenvalue problems, existence, and dynamic behavior of solutions for linear and semilinear equations are investigated.
Yuandi Wang
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