REPRESENTATIONS OF SOLUTIONS, COEFFICIENTS, AND SYMBOLS OF OPERATOR OF EVOLUTION EQUATIONS AND INVERSE PROBLEMS

Yu. E. Anikonov; M. V. Neshchadim

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REPRESENTATIONS OF SOLUTIONS, COEFFICIENTS, AND SYMBOLS OF OPERATOR OF EVOLUTION EQUATIONS AND INVERSE PROBLEMS

机译：演化方程算子的解，系数和符号的表示及反问题

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摘要

New presentations of solutions, coefficients, and operator symbols for evolution equations are given. Applications to inverse problems are discussed. In particular, formulas characterizing parameters of ethnical processes are obtained.

机译：给出了演化方程的解，系数和算符的新表示。讨论了反问题的应用。特别地，获得表征种族过程的参数的公式。

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《Journal of Mathematical Sciences》 |2012年第3期|p.352-363|共12页
作者
Yu. E. Anikonov; M. V. Neshchadim;
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Sobolev Institute of Mathematics SB RAS 4, pr. Akad. Koptyuga, Novosibirsk 630090, Russia Novosibirsk State University 2, ul. Pirogova, Novosibirsk 630090, Russia;

Sobolev Institute of Mathematics SB RAS 4, pr. Akad. Koptyuga, Novosibirsk 630090, Russia Novosibirsk State University 2, ul. Pirogova, Novosibirsk 630090, Russia;

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5. An evolution operator solution for a nonlinear beam equation [D] . Crockett, Carl Edwin. 1990

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6. Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators [O] . K. Zhukovsky -1

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7. Special solutions of the equations Pu = 0, Pu = δ for invariant linear differential operators with polynomial coefficients [O] . Szmydt Zofia, Ziemian Bogdan 1981

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REPRESENTATIONS OF SOLUTIONS, COEFFICIENTS, AND SYMBOLS OF OPERATOR OF EVOLUTION EQUATIONS AND INVERSE PROBLEMS

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