Open AccessOn oscillation of integro-differential equations
Author(s) -
Said R. Grace,
A. Zafer
Publication year - 2018
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1612-21
Subject(s) - mathematics , oscillation (cell signaling) , differential equation , mathematical analysis , integro differential equation , differential (mechanical device) , calculus (dental) , first order partial differential equation , medicine , physics , thermodynamics , orthodontics , genetics , biology
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
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