The Construction of the Linear Pfaff System with the Arbitrary given Degree Sets and Trivial Characteristic Sets

  • Published 2004

Abstract

with bounded continuously differentiable matrices Ai(t) satisfying the complete integrability condition [1, pp. 43–44; 2. pp. 21–24] ∂A1(t)/∂t2 + A1(t)A2(t) = ∂A2(t)/∂t1 + A2(t)A1(t), t ∈ R>1. Suppose that the lower characteristic [3] Px and the characteristic [4] Λx sets of a nontrivial solution x : R>1 → R \ {0} of the system (1) are trivial, i.e., Px… (More)

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