Oscillation of nonlinear third order perturbed functional difference equations

This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation By using comparison techniques we present some new sufficient conditions for the oscillation of all solutions of the studied equation. Examples illustrating th...

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Vydáno v:Nonautonomous Dynamical Systems Ročník 6; číslo 1; s. 57 - 64
Hlavní autoři: Dinakar, P., Selvarangam, S., Thandapani, E.
Médium: Journal Article
Jazyk:angličtina
Vydáno: De Gruyter Open 01.01.2019
De Gruyter
Témata:
39A10
asymptotic behavior
Comparison method
oscillation
perturbed equation
ISSN:2353-0626, 2353-0626
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Abstract This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation By using comparison techniques we present some new sufficient conditions for the oscillation of all solutions of the studied equation. Examples illustrating the main results are included.
AbstractList This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation
This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation By using comparison techniques we present some new sufficient conditions for the oscillation of all solutions of the studied equation. Examples illustrating the main results are included.
This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation Δ ( b n Δ ( a n ( Δ x n ) α ) ) + p n f ( x σ ( n ) ) = g ( n , x n , x σ ( n ) , Δ x n ) ,       n ≥ n 0 . \Delta {\left( {{b_n}\Delta ({a_n}(\Delta {x_n}} \right)^\alpha })) + {p_n}f\left( {{x_{\sigma \left( n \right)}}} \right) = g\left( {n,{x_n},{x_{\sigma (n)}},\Delta {x_n}} \right),\,\,\,n \ge {n_0}. By using comparison techniques we present some new sufficient conditions for the oscillation of all solutions of the studied equation. Examples illustrating the main results are included.
Author Selvarangam, S.
Dinakar, P.
Thandapani, E.
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  surname: Thandapani
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  organization: Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai - 600 005, India
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10.1016/j.jmaa.2007.02.054
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10.1155/9789775945198
10.1007/s10013-014-0106-y
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10.1155/2014/791631
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Snippet This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation By using...
This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation Δ ( b n Δ ( a n (...
This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation
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SubjectTerms 39A10
asymptotic behavior
Comparison method
oscillation
perturbed equation
Title Oscillation of nonlinear third order perturbed functional difference equations
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