Asymptotic behaviour and stability to linear non-autonomous neutral delay difference equations

References

• Arino , O and Pituk , M . 2001 . More on linear differential systems with small delays . Journal of Differential Equations , 170 : 381 – 407 .
   Web of Science ®Google Scholar
• Dix , JG , Philos , Ch.G and Purnaras , IK . 2005 . An asymptotic property of solutions to linear nonautonomous delay differential equations . Electronics Journal of Differential Equations , 10 : 1 – 9 .
   Google Scholar
• Driver RD Some harmless delays Delay and Functional Differential Equations and their Applications 103 119 1972 Academic Press New York
   Google Scholar
• Driver , RD . 1976 . Linear differential systems with small delays . Journal of Differential Equations , 21 : 148 – 166 .
   Web of Science ®Google Scholar
• Driver , RD , Ladas , G and Vlahos , PN . 1992 . Asymptotic behaviour of a linear delay difference equation . Proceedings of the American Mathematical Society , 115 : 105 – 112 .
   Web of Science ®Google Scholar
• Driver , RD , Sasser , DW and Slater , ML . 1973 . The equation x′(t)=ax(t)+bx(t−τ) with “small” delay . American Mathematical Monthly , 80 : 990 – 995 .
   Web of Science ®Google Scholar
• Frasson , MVS and Verduyn Lunel , SM . 2003 . Large time behaviour of linear functional differential equations . Integral Equations Operator Theory , 47 : 91 – 121 .
   Web of Science ®Google Scholar
• Graef , JR and Qian , C . 1998 . Asymptotic behaviour of forced delay equations with periodic coefficients . Communications in Applied Analysis , 2 : 551 – 564 .
   Google Scholar
• Kordonis , I-GE , Niyianni , NT and Philos , Ch.G . 1998 . On the behaviour of the solutions of scalar first order linear autonomous neutral delay differential equations . Archiv Der Mathematik (Basel) , 71 : 454 – 464 .
   Web of Science ®Google Scholar
• Kordonis , I-GE and Philos , Ch.G . 1999 . On the behaviour of the solutions for linear autonomous neutral delay difference equations . Journal of Difference Equations and Applications , 5 : 219 – 233 .
   Web of Science ®Google Scholar
• Kordonis , I-GE , Philos , Ch.G and Purnaras , IK . 1998 . Some results on the behaviour of the solutions of a linear delay difference equation with periodic coefficients . Applicable Analysis , 69 : 83 – 104 .
   Google Scholar
• Philos , Ch.G . 1998 . Asymptotic behaviour, nonoscillation and stability in periodic first-order linear delay differential equations . Proceedings of the Royal Society of Edinburgh Section A , 128 : 1371 – 1387 .
   Google Scholar
• Philos , Ch.G and Purnaras , IK . 2001 . Periodic first order linear neutral delay differential equations . Applied Mathematics and Computation , 117 : 203 – 222 .
   Web of Science ®Google Scholar
• Philos , Ch.G and Purnaras , IK . 2004 . Asymptotic properties, nonoscillation, and stability for scalar first order linear autonomous neutral delay differential equations . Electronics Journal of Differential Equations , 03 : 1 – 17 .
   Google Scholar
• Philos , Ch.G and Purnaras , IK . 2005 . The behaviour of the solutions of periodic linear neutral delay difference equations . Journal of Computational and Applied Mathematics , 175 : 209 – 230 .
   Web of Science ®Google Scholar
• Philos , Ch.G and Purnaras , IK . 2004 . An asymptotic result and a stability criterion for linear nonautonomous delay difference equations . Archiv Der Mathematik (Basel) , 83 : 243 – 255 .
   Web of Science ®Google Scholar
• Pituk , M . 2001 . The limits of the solutions of a nonautonomous linear delay difference equation . Computers and Mathematics with Applications , 42 : 543 – 550 .
   Web of Science ®Google Scholar
• Pituk , M . 2002 . Asymptotic behaviour of a nonhomogeneous linear recurrence system . Journal of Mathematical Analysis and Applications , 267 : 626 – 642 .
   Web of Science ®Google Scholar