... and t ∈noting that t 0,Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2011, Article ID 979705, 27 pagesdoi:10.1155/2011/979705 Research Article Lyapunov Stability ... occur in a natural way of using discretizationtechniques for solving DAEs and partial differential-algebraic equations, and so forth, whichhave already attracted much attention from researchers ... Differential Equations I, II,vol.40ofResearch Notes in Mathematics,Pitman, London, UK, 1980.3 E. Griepentrog and R. M¨arz, Differential-Algebraic Equations and Their Numerical Treatment, vol....