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Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation. [PDF]
Gómez S, Perinati C, Stocker P.
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Controlling worm propagation in wireless sensor networks: Through fractal-fractional mathematical perspectives. [PDF]
Shah MI +5 more
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Existence and Uniqueness Theorems
1992A set X equipped with a metric $$d:X \times X \to {R_ + }$$ which satisfies the conditions (the axioms of the metric) $$d\left( {x,y} \right) = 0 \Leftrightarrow x = y,\forall x,y \in X$$ (1) $$d\left( {x,y} \right) = d\left( {y,x} \right)\forall x,y \in X$$ (2) $$d\left( {x,z} \right) \leqslant d\left( {x,y} \right) + d ...
Gheorghe Micula, Paraschiva Pavel
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Existence and Uniqueness Theorems
2010In this chapter we are concerned with the first-order vector differential equation $$x^\prime = f(t, x).$$
Walter G. Kelley, Allan C. Peterson
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Existence and Uniqueness Theorem for Slant Immersions and Its Applications
Results in Mathematics, 1997A slant isometric immersion \(f:M\to\widetilde{M}\) is an isometric immersion from a Riemannian manifold \(M\) into an almost Hermitian manifold \(\widetilde{M}\) with constant Wirtinger angle \(\theta\), i.e., for every \(p\in M\) and every unit vector \(v\in T_pM\) the angle between \(Jf_*v\) and \(f_*T_pM\) is \(\theta\).
Chen, Bang-yen, Vrancken, Luc
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Existence and Uniqueness Theorems
1986In this chapter our ultimate goal is to show the existence and uniqueness of solutions to certain ordinary differential equations. To do so we use the setting of the previous chapter, a Banach space, and a device known as a contraction mapping. The results are then applied to an integral equation.
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Comparison, Existence and Uniqueness Theorems for Stochastic Differential Equations
Theory of Probability & Its Applications, 1986Translation from Teor. Veroyatn. Primen. 30, No.1, 147-152 (Russian) (1985; Zbl 0567.60060).
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Existence and uniqueness theorem for uncertain heat equation
Journal of Ambient Intelligence and Humanized Computing, 2017Uncertain heat equation is a type of uncertain partial differential equations, whose heat source is affected by uncertain interference. This paper proves an existence and uniqueness theorem of solutions for general uncertain heat equations under linear growth condition and Lipschitz condition. Moreover, for several special uncertain heat equations, the
Xiangfeng Yang, Yaodong Ni
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Existence and uniqueness theorem for uncertain differential equations
Fuzzy Optimization and Decision Making, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, X., Liu, B.
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Existence and Uniqueness Theorems for Stochastic Differential-Difference Hybrid Systems
Differential EquationsA stochastic differential-difference hybrid system is a system of interacting variables whose dynamics are described by stochastic differential equations for some of them and difference equations for others. Systems with two types of difference equations are examined: first, a difference equation in the form of a process involving the multiplicative ...
Levakov, A. A., Dolzhenkova, D. A.
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