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Existence and Uniqueness of Solutions
1968In Chapter 6 we have repeatedly postponed an investigation of the existence and uniqueness of the current chains and voltage chains describing the performance of a resistive network, but subject to the restrictions imposed by Ohm’s Law and Kirchhoff’s Current and Voltage Laws. In the first part of this Chapter we finally consider such matters.
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Existence and Uniqueness of Solutions
2009A fundamental issue in the theory of differential equations consists of proving the existence and uniqueness of solutions. Before we discuss partial differential equations, we analyse in Section 9.1 the situation for general systems of ordinary differential equations, often called differential algebraic equations.
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Existence and uniqueness of GPS solutions
IEEE Transactions on Aerospace and Electronic Systems, 1991The existence and uniqueness of positions computed from global positioning system (GPS) pseudorange measurements is studied. Contrary to the claims of S. Bancroft (1985) and L.O. Krause (1987), in the case of n=4 satellites a fix may not exist, and, if a fix exists, it is not guaranteed to be unique.
J.S. Abel, J.W. Chaffee
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Existence and Uniqueness of Solutions for the Couette Problem
Journal of Statistical Physics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence and Uniqueness of Solution for Quantum Fractional Pantograph Equations
Iranian Journal of Science and Technology Transactions A Science, 2021S. Kosari +3 more
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Existence and Uniqueness of Classical and Mild Solutions of Generalized Impulsive Evolution Equation
International journal of nonlinear sciences and numerical simulation, 2018In this article, the existence and uniqueness of generalized nonlinear impulsive evolution equation is derived. The proposed system is modeled with nonlinear perturbed force which changes after every impulse.
Vishant Shah +3 more
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Existence and Uniqueness of Solutions in FCN
2014In this chapter, we present a study for the existence of equilibrium points of FCNs equipped with continuous differentiable sigmoid functions that have contractive or at least nonexpansive properties. The study is done by using an appropriately defined contraction mapping theorem and the nonexpansive mapping theorem.
Yiannis Boutalis +3 more
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On the Existence and Uniqueness of Solutions of the Equation
Canadian Mathematical Bulletin, 1975AbstractThe existence and uniqueness of strong global solutions of initial-boundary value problems for the quasilinear equation utt—∂σi(uxi)/∂xi—ΔNut= f is established for functions σi(ξ), i = 1, …, N, satisfying: σi,(ξ) ∊ C1(-∞, ∞), σi(0) = 0 and for some constant K0.
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Existence and Uniqueness of IRK Solutions
1996Since the Runge-Kutta methods studied in the foregoing sections are all implicit, we have to ensure that the numerical solutions, for which we have derived so many nice results, also really exist. The existence theory for implicit Runge-Kutta methods, presented in Volume I (Theorem 11.7.2), is for the non-stiff case only, where hL is small (L the ...
Ernst Hairer, Gerhard Wanner
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On the global existence and uniqueness of solutions to Prandtl’s system
Acta Mathematica Sinica, English Series, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Xin Ying, Zhao, Jun Ning
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