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020 _a9780857296856
_99780857296856
024 7 _a10.1007/9780857296856
_2doi
035 _avtls000333960
039 9 _a201509030242
_bVLOAD
_c201404130606
_dVLOAD
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aTJ212-225
100 1 _aShaikhet, Leonid.
_eautor
_9306578
245 1 0 _aLyapunov Functionals and Stability of Stochastic Difference Equations /
_cby Leonid Shaikhet.
264 1 _aLondon :
_bSpringer London,
_c2011.
300 _avI, 284 páginas 119 ilustraciones, 117 ilustraciones en color.
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
500 _aSpringer eBooks
505 0 _aLyapunov-type Theorems and Procedure for Lyapunov Functional Construction -- Illustrative Example -- Linear Equations with Stationary Coefficients -- Linear Equations with Nonstationary Coefficients -- Some Peculiarities of the Method -- Systems of Linear Equations with Varying Delays -- Nonlinear Systems -- Volterra Equations of the Second Type -- Difference Equations with Continuous Time -- Difference Equations as Difference Analogues of Differential Equations.
520 _a  Hereditary systems (or systems with either delay or after-effects) are widely used to model processes in physics, mechanics, control, economics and biology. An important element in their study is their stability. Stability conditions for difference equations with delay can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Difference Equations describes the general method of Lyapunov functionals construction to investigate the stability of discrete- and continuous-time stochastic Volterra difference equations. The method allows the investigation of the degree to which the stability properties of differential equations are preserved in their difference analogues. The text is self-contained, beginning with basic definitions and the mathematical fundamentals of Lyapunov functionals construction and moving on from particular to general stability results for stochastic difference equations with constant coefficients. Results are then discussed for stochastic difference equations of linear, nonlinear, delayed, discrete and continuous types. Examples are drawn from a variety of physical and biological systems including inverted pendulum control, Nicholson's blowflies equation and predator-prey relationships. Lyapunov Functionals and Stability of Stochastic Difference Equations is primarily addressed to experts in stability theory but will also be of use in the work of pure and computational mathematicians and researchers using the ideas of optimal control to study economic, mechanical and biological systems. __________________________________________________________________________
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780857296849
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-85729-685-6
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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