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Existence and Uniqueness Results
2014This chapter deals with existence and uniqueness results for variational and quasi-variational inequalities. With the intention of focusing the differences among the proofs of results, we first consider elliptic variational inequalities of the first and second kind with linear and continuous operators in Hilbert space or monotone and hemicontinuous ...
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Existence and Uniqueness of Solutions
1992Recall the inhomogeneous system (I) of k linear equations in n unknowns, which we studied in Chapter 4.4. We consider the case k = n, where the number of equations to be solved equals the number of unknowns, and we shall use our results about bases in ℝ n in the preceding chapter to study the question of existence and uniqueness of solutions of the ...
Thomas Banchoff, John Wermer
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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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Positive solutions for a class of biharmonic equations: Existence and uniqueness
Applied Mathematics Letters, 2023Meiqiang Feng, Haiping Chen
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Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients
Journal of Functional Analysis, 2008Alessio Figalli
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