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$L\sb 2$ estimates for singularly perturbed onedimensional hyperbolic equations of high order. (English)
Authors: Musteata A. T.
Abstract
We study the equation $Pu+\lambda Qu =f(t,x,\lambda),\quad t>0,\;x\in R^{1}$, where $P$ and $Q$ are strictly hyperbolic operators with variables coefficients of order $n$ and $n'$ ($n'=n-1$ or $n'=n-2$) and $\lambda$ is a complex parameter. We prove if the roots of symbols of $P$ and $Q$ satisfy some separation conditions then the solutions of this equation can be a priori estimated uniform in $\lambda$.Institutul de Matematică Academia de Ştiinţe a Moldovei
str. Academiei 5, Chişinău MD-2028, Moldova
str. Academiei 5, Chişinău MD-2028, Moldova
Contents
- An algorithm for forming the Poincare cycle. (Russian)
- A property of the rings of endomorphisms. (Romanian)
- On solution of problems of integer programming. (Russian)
- Rates of queue length convergence for priority queues with orientation. (English)
- On the commutator of two operators in sandwiches. (Russian)
- Idempotents and the radical with respect to a right ideal. (Russian)
- Independence and nilpotency in algebras. (Russian)
- On isomorphisms of free topological groups, rings and modules generated by topological spaces. (Russian)
- Modeling of self-dual Boolean functions commuting with 1 in a 3-valued extension of provability-intuitionistic logic. (Russian)
- $L\sb 2$ estimates for singularly perturbed onedimensional hyperbolic equations of high order. (English)
- On the group of motions of the four-dimensional hyperbolic space of a $120$-hedron. (Russian)
