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  • We are concerned with matrix differential Riccati equations with square matrix. It has been proved, that if these equations fulfill some spedial conditions for matrix coefficients and initial conditions than these equations possess a unique solution on tho whole interval and, moreover, that this solution in represented by symmetric matris whose eigenvalues lie in [0,1]. Considered type of Ricatti equations has a strong application in to the field of study of boundary value problem for self-adjoint differential equations.
  • We are concerned with matrix differential Riccati equations with square matrix. It has been proved, that if these equations fulfill some spedial conditions for matrix coefficients and initial conditions than these equations possess a unique solution on tho whole interval and, moreover, that this solution in represented by symmetric matris whose eigenvalues lie in [0,1]. Considered type of Ricatti equations has a strong application in to the field of study of boundary value problem for self-adjoint differential equations. (en)
  • Článek se zabývá řešením diferenciální rovnice Riccatiho tipu. (cs)
Title
  • Symmetric Matrix Riccati Differential Equations
  • Symmetric Matrix Riccati Differential Equations (en)
  • Symatrická diferenciální maticová Riccatiho rovnice (cs)
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  • Symmetric Matrix Riccati Differential Equations
  • Symmetric Matrix Riccati Differential Equations (en)
  • Symatrická diferenciální maticová Riccatiho rovnice (cs)
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  • RIV/68407700:21260/08:06153393!RIV09-MSM-21260___
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  • RIV/68407700:21260/08:06153393
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  • Riccati differntial equation; ODE; boundary value problem; transfer of boundary condirions; self-adjoint differential equation (en)
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  • [7C46C9C50714]
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  • International Conference Presentation of Mathematics'08
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  • Voráčová, Šárka
  • Taufer, Jiří
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  • Technická univerzita v Liberci
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  • 978-80-7372-434-4
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  • 21260
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