On simultaneous diagonal equations and inequalities
نویسندگان
چکیده
منابع مشابه
Simultaneous diagonal equations over p-adic fields
with coefficients aij in O. Write the degree as k = pm with p m. A solution x = (x1, . . . , xN) ∈ K is called non-trivial if at least one xj is non-zero. It is a special case of a conjecture of Emil Artin that (∗) has a non-trivial solution whenever N > Rk. This conjecture has been verified by Davenport and Lewis for a single diagonal equation over Qp and for a pair of equations of odd degree ...
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Results on the simultaneous scaling of nonnegative matrices involving one sided inequalities are presented. These are applied to scalings involving two sided inequalities. The proofs are graph theoretic. The setting is generalized to matrices with elements in lattice ordered Abelian groups with 0.
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Results on the simultaneous scaling of nonnegative matrices involving one sided inequalities are presented. These are applied to scalings involving two sided inequalities. The proofs are graph theoretic. The setting is generalized to matrices with elements in lattice ordered Abelian groups with 0.
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Let a⊕b = max(a, b) and a⊗b = a+b for a, b ∈ R. Max-algebra is an analogue of linear algebra developed on the pair of operations (⊕,⊗) extended to matrices and vectors. The system of equations A ⊗ x = b and inequalities C ⊗ x ≤ d have each been studied in the literature. We consider a problem consisting of these two systems and present necessary and sufficient conditions for its solvability. We...
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در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1992
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-62-2-125-149