publication . Article . 2006

Oscillation criteria for first-order forced nonlinear difference equations

Ravi P. Agarwal; Said R. Grace; Timothy A. Smith;
Open Access English
  • Published: 01 Jan 2006 Journal: Advances in Difference Equations, volume 2,006, pages 1-17 (issn: 1687-1839, Copyright policy)
  • Publisher: Springer Nature
<p/> <p>Some new criteria for the oscillation of first-order forced nonlinear difference equations of the form &#916;<it>x</it>(<it>n</it>)+<it>q</it><sub>1</sub>(<it>n</it>)<it>x</it><sup><it>&#956;</it></sup>(<it>n</it>+1) = <it>q</it><sub>2</sub>(<it>n</it>)<it>x</it><sup><it>&#955;</it></sup>(<it>n</it>+1)+<it>e</it>(<it>n</it>), where <it>&#955;</it>, <it>&#956;</it> are the ratios of positive odd integers 0 &lt;<it>&#956;</it> &lt; 1 and <it>&#955;</it> &gt; 1, are established.</p>
Persistent Identifiers
free text keywords: Algebra and Number Theory, Applied Mathematics, Analysis, Finite difference method, Oscillation, Independent equation, Mathematics, Oscillation theory, Differential equation, Mathematical analysis, Nonlinear system, Functional equation, Ordinary differential equation, lcsh:Mathematics, lcsh:QA1-939
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