Remark on positive solutions of discrete equation \(\Delta u(k+n)=-p(k)u(k)\)

DOI10.1016/j.na.2005.01.007zbMath1224.39002OpenAlexW161922344MaRDI QIDQ1000021

Jaromír Baštinec, Josef Diblík

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.007

zbMATH Keywords

positive solutionasymptotic behavior of solutiondiscrete equation

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Linear difference equations (39A06)

Related Items (10)

On the dynamics of certain higher-order scalar difference equation: asymptotics, oscillation, stability ⋮ Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay ⋮ Bounded positive solutions for a third order discrete equation ⋮ Positive solutions and iterative approximations for a nonlinear two-dimensional difference system with multiple delays ⋮ Boundedness and stability for discrete-time delayed neural network with complex-valued linear threshold neurons ⋮ Oscillation criteria for delay and difference equations with non-monotone arguments ⋮ Existence of positive solutions of discrete linear equations with a single delay ⋮ Asymptotic behavior of solutions of delayed difference equations ⋮ Preserving positivity in solutions of discretised stochastic differential equations ⋮ Asymptotic summation of perturbed linear difference systems in critical case

Cites Work

• The asymptotic bounds of solutions of linear delay systems
• Positive and oscillating solutions of differential equations with delay in critical case
• Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case
• Discrete retract principle for systems of discrete equations
• Asymptotic formulae for the solutions of a linear delay difference equation
• Oscillations of first-order delay differential equations in a critical state
• Oscillation and Nonoscillation Criteria for Delay Differential Equations
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