Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations

DOI10.1016/0895-7177(94)00215-AzbMath0820.39002MaRDI QIDQ1804227

Ravi P. Agarwal, Patricia J. Y. Wong

Publication date: 21 September 1995

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

oscillationsecond-order nonlinear difference equationspositive monotone solution

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (33)

Two-point higher-order BVPs with singularities in phase variables ⋮ Oscillatory and asymptotically monotone solutions of second-order quasilinear differential equations ⋮ Summation averages and the oscillation of second-order nonlinear difference equations ⋮ Oscillation and non-oscillation theorems for a class of second order quasilinear difference equations ⋮ Oscillations of higher-order neutral difference equations ⋮ Oscillation theorems for fourth-order partial difference equations ⋮ Nonexistence of unbounded nonoscillatory solutions of partial difference equations ⋮ Oscillatory and nonoscillatory behavior of second order neutral delay difference equations ⋮ On eigenvalue intervals and twin eigenfunctions of higher-order boundary value problems ⋮ Oscillation of second-order perturbed nonlinear difference equations. ⋮ Oscillation in nonlinear difference equations ⋮ Oscillation criteria for second-order neutral delay difference equations ⋮ Oscillations and nonoscillations of half-linear difference equations generated by deviating arguments ⋮ Asymptotic and oscillatory behavior of solutions of general nonlinear difference equations of second order ⋮ Focal boundary value problems for singular difference equations ⋮ Oscillation criteria for second-order nonlinear difference equations with damped term ⋮ Bounded and monotone properties of solutions of second-order quasilinear forced difference equations ⋮ Eigenvalues and eigenfunctions of discrete conjugate boundary value problems ⋮ Fixed-sign solutions of a system of higher order difference equations ⋮ Oscillation criteria of second order neutral difference equations ⋮ New criteria for the oscillation and existence of monotone solutions of second-order nonlinear difference equations ⋮ Some new results for bounded and monotone properties of solutions of second-order quasi-linear forced difference equations ⋮ Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral term ⋮ Positive solutions of second order nonlinear differential equations ⋮ Positive solutions of difference equations with two-point right focal boundary conditions ⋮ Oscillation criteria for nonlinear partial difference equations with delays ⋮ Integral averaging technique and oscillation of certain even order delay differential equations ⋮ Nonoscillatory solutions for the one-dimensional \(p\)-Laplacian ⋮ Classification schemes for positive solutions to a second-order nonlinear difference equation ⋮ Oscillation of a class of partial difference equations with unbounded delay ⋮ Oscillation theorems for general quasilinear second-order difference equations ⋮ On the oscillation of recurrence equations ⋮ Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations

Cites Work

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