Discrete inequalities in n independent variables of Gronwall-Bellman type

References

• Agarwal , R.P. and E , Thandapani . 1981 . on discrete generalization of Gronwall's inequality . Bull,Inst,Math.Acad.Sinica , 9 : 235 – 248 .
   Google Scholar
• Beesack , P.R. 1975 . Gronwall Inequalities . Carleton University Mathmatical Lecture Notes , 11
   Google Scholar
• Dannan , F.M. 1986 . Submultiplicative and sub additive functions and integral inequalities of Bellman-Bihari type . J.Math.Anal.Appl , 120 : 631 – 646 .
   Google Scholar
• Hull , T.E. and Luxemburg , W.A.J. 1960 . Numerical methods and existence Theorems for ordinary differential equations . Numer.Math , 2 : 30 – 41 .
   Google Scholar
• Jones , G.S. 1964 . Fundamental inequalities for discrete and discontinuous functional equations . J.Soc.Ind.Appl.Math , 12 : 43 – 57 .
   Google Scholar
• Pachpatte , B.G. 1975 . A note on integral inequalities of the bellman-Bihari type . J.Math.Anal.Appl , 49 : 295 – 301 .
   Google Scholar
• Pachpatte , B.G. 1977 . On some non-linear discrete inequalities of Gronwall type . Bull.Inst.Math.Acad,Sinica , 5 : 305 – 315 .
   Google Scholar
• Singare , S.M. and Pachpatte , B.G. 1979 . Discrete Generalized Gronwall inequalities in three independent variables . Pacific J.Maths , 82 : 197 – 210 .
   Google Scholar
• Singare , S.M. and Pachpatte , B.G. 1980 . On certain discrete inequalities of the Wendroff type . Indian J.Pure Appl.Math , 11 : 727 – 736 .
   Google Scholar
• Singare , S.M. and Pachpatte , B.G. 1980 . On some fundamental discrete inequalities of the Wendroff type . An.Stiint.Univ.Al.I.Cuza.Iasi , 26 : 85 – 94 .
   Google Scholar
• Sugiyama , S. 1969 . On the stability problems of difference equations . Bull.Sci.Eng.Res.Lab.Waseda Univ , 45 : 140 – 144 .
   Google Scholar
• Thandapani , E. and Agarwal , R.P. 1981 . Some new discrete inequalities in two independent variables . An.Stiint.Univ.Al.I.Cuza. Iasi , 27 : 269 – 278 .
   Google Scholar
• Yeh , C.C. 1985 . Discrete inequalities of the Gronwall-Bellman type in n independent variables . J.Math.Anal.Appl , 105 : 322 – 332 .
   Google Scholar