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Physical Sciences and Mathematics Commons

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Mathematics

TÜBİTAK

2018

Oscillation

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Full-Text Articles in Physical Sciences and Mathematics

On Oscillation Of Integro-Differential Equations, Said R. Grace, Ağacik Zafer Jan 2018

On Oscillation Of Integro-Differential Equations, Said R. Grace, Ağacik Zafer

Turkish Journal of Mathematics

We study the oscillatory behavior of solutions for integro-differential equations of the form $$x'(t) = e(t) -\int_0^t (t-s)^{\alpha-1}k(t, s)f(s, x(s))\, {\rm ds},\quad t\geq 0,$$ where $0