Solutions and constrained null-controllability for a differential-difference equation

Valentina Iakovleva; Ra?ol Manzanilla; Luis Gerardo M??rmol; Carmen J. Vanegas

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Solutions and constrained null-controllability for a differential-difference equation

机译：差分差分方程的解决方案和无限值的零可控性

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摘要

A formula for the solution of a differential-difference equation is given, and then the corresponding semigroup theory is developed, with a detailed description of the infinitesimal generator and some of its spectral properties.

机译：给出了差分差分方程的解决方案的公式，然后开发了相应的半群理论，详细描述了无限发生器和其一些光谱特性。

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《Mathematica Slovaca》 |2016年第1期|共16页
作者
Valentina Iakovleva; Ra?ol Manzanilla; Luis Gerardo M??rmol; Carmen J. Vanegas;
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functional partial differential equationsmixed-type difference-differential equationsstrongly continuous semigroupsexact controllabilityPrimary 34K0593B05;

机译：功能局部微分方程型型差分方程式连续半亮相控制性34K0593B05;

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1. Uniformly constructing exact discrete soliton solutions and periodic solutions to differential-difference equations [J] . Guo-cheng Wu, Tie-cheng Xia Computers & mathematics with applications . 2009,第11a12期

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2. Entire solutions of certain type of nonlinear differential equations and differential-difference equations [J] . Min Feng Chen, Zong Sheng Gao Journal of computational analysis and applications . 2018,第1期

机译：某些类型的非线性微分方程和差分差分方程的整个解
3. Entire solutions of differential-difference equation and Fermat type $q$-difference differential equations [J] . Min Feng Chen, Zong Sheng Gao Communications of the Korean Mathematical Society . 2015,第4期

机译：微分差分方程和Fermat型$ q $差分方程的整体解
4. Numerical Solution of Differential-difference Equations in Large Intervals Using a Taylor Collocation Method [C] . M. Dadkhah Tirani, F. Sohrabi, H. Almasieh, International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences . 2015

机译：泰勒搭配法以大间隔差分方程的数值解
5. On two differential-difference equations arising in analytic number theory [D] . Wheeler, Ferrell Shane 1988

机译：关于解析数论中产生的两个微分方程
6. ON THE LIMIT OF SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS AS THE RETARDATION APPROACHES ZERO [O] . Richard Bellman, Kenneth L. Cooke 1959

机译：差法近似为零的微分方程解的极限
7. On an Existence Theorem for Quasiperiodic Differential-Difference Equations (Qualitative Theory of Solutions in Functional Differential Equations) [O] . KURIHARA M., HIRAIWA M. 1981

机译：拟周期微分方程的存在性定理（泛函微分方程解的定性理论）
8. NUMERICAL SOLUTION OF FUNCTIONAL EQUATIONS BY MEANS OF LAPLACE TRANSFORM-Ⅱ: DIFFERENTIAL-DIFFERENCE EQUATIONS [R] . R. E. Bellman, R.E. Kalaba, J. Lockett 1963

机译：用拉普拉变换求函数方程的数值解 - Ⅱ：微分 - 差分方程

Solutions and constrained null-controllability for a differential-difference equation

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