Oscillation for second-order half-linear delay damped dynamic equations on time scales
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DOI: 10.1186/s13662-019-2136-y
Abstract: AbstractWe investigate oscillation of second-order half-linear variable delay damped dynamic equations [a(t)|xΔ(t)|λ−1xΔ(t)]Δ+b(t)|xΔ(t)|λ−1xΔ(t)+p(t)|x(δ(t))|λ−1x(δ(t))=0$$ \bigl[a(t) \bigl\vert x^{\Delta }(t) \bigr\vert ^{\lambda -1}x^{\Delta }(t) \bigr]^{\Delta }+b(t) \bigl\vert x ^{\Delta }(t) \bigr\vert ^{\lambda -1}x^{\Delta }(t)+p(t) \bigl\vert x \bigl(\delta (t) \bigr)… read more here.
Keywords: bigl; bigr; delta; vert ... See more keywords
Criteria of Oscillation for Second-Order Mixed Nonlinearities in Dynamic Equations
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DOI: 10.3390/sym16091156
Abstract: This paper investigates second-order functional dynamic equations with mixed nonlinearities on an arbitrary unbounded above-time scale, T. We will use a unified time scale approach and the well-known Riccati technique to derive oscillation criteria of… read more here.
Keywords: mixed nonlinearities; oscillation second; dynamic equations; criteria oscillation ... See more keywords
Oscillation of second-order nonlinear noncanonical differential equations with mixed type of argument
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DOI: 10.47974/jim-2000
Abstract: The present paper investigates the oscillatory behaviour of the differential equation (r(t)(z’(t))γ)’ = p(t)zβ(δ(t)), t ≥ t0, in all possible cases for γ and β, where δ(t) is a mixed argument. The obtained results are… read more here.
Keywords: nonlinear noncanonical; oscillation second; order nonlinear; argument ... See more keywords