Existence of positive solutions of discrete linear equations with a single delay

References

• Agarwal , R.P. , Bohner , M. and Li , W.-T. 2004 . Nonoscillation and Oscillation: Theory for Functional Differential Equations , New York, NY : Marcel Dekker, Inc. .
   Google Scholar
• Baštinec , J. and Diblík , J. 2004 . Subdominant positive solutions of the discrete equation . Abstr. Appl. Anal. , 2004:6 : 461 – 470 .
   Google Scholar
• Baštinec , J. and Diblík , J. 2005 . Remark on positive solutions of discrete equation . Nonlinear Anal. , 63 : e2145 – e2151 .
   Google Scholar
• Berezansky , L. and Braverman , E. 2006 . On existence of positive solutions for linear difference equations with several delays . Adv. Dyn. Syst. Appl. , 1 : 29 – 47 .
   Google Scholar
• Chatzarakis , G.E. and Stavroulakis , I.P. 2006 . Oscillations of first order linear delay difference equations . Aust. J. Math. Anal. Appl. , 3 ( 1 ) : 1 – 11 . Art. 14 (electronic)
   Google Scholar
• Diblík , J. 1998 . Positive and oscillating solutions of differential equations with delay in critical case . J. Comput. Appl. Math. , 88 : 185 – 202 .
   Google Scholar
• Györi , I. and Ladas , G. 1991 . Oscillation Theory of Delay Differential Equations , Oxford : Clarendon Press .
   Google Scholar
• Györi , I. and Pituk , M. 1995 . Asympotic formulae for the solutions of a linear delay difference equation . J. Math. Anal. Appl. , 195 : 376 – 392 .
   Google Scholar
• Karajani , P. and Stavroulakis , I.P. 2004 . Oscillation criteria for second-order delay and functional equations . Stud. Univ. Žilina, Math. Ser. , 18 ( 1 ) : 17 – 26 .
   Google Scholar
• Kikina , L.K. and Stavroulakis , I.P. 2005 . A survey on the oscillation of solutions of first order delay difference equations . Cubo , 7 ( 2 ) : 223 – 236 .
   Google Scholar
• Ladas , G. , Philos , Gh.G. and Sficas , Y.G. 1989 . Sharp conditions for the oscillation of delay difference equations . J. Appl. Math. Simulation , 2 : 101 – 111 .
   Google Scholar
• Medina , R. and Pituk , M. 2009 . Nonoscillatory solutions of a second order difference equation of Poincaré type . Appl. Math. Lett. , 22 ( 5 ) : 679 – 683 .
   Google Scholar
• Stavroulakis , I.P. 2003 . Oscillation criteria for delay and difference equations . Stud. Univ. Žilina, Math. Ser. , 17 ( 1 ) : 161 – 167 .
   Google Scholar
• Stavroulakis , I.P. 2004 . Oscillation criteria for first order delay difference equations . Mediterr. J. Math. , 1 ( 2 ) : 231 – 240 .
   Google Scholar