Solutions to Difference Equations Have Few Defects
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DOI: 10.1007/s40315-022-00437-5
Abstract: We establish a strong form of Nevanlinna’s Second Main Theorem for solutions to difference equations $$\begin{aligned} f(z+1)=R(z, f(z)), \end{aligned}$$ f ( z + 1 ) = R ( z , f ( z ) )… read more here.
Keywords: solutions difference; difference equations; equations defects;
An asymptotic analysis of nonoscillatory solutions of q-difference equations via q-regular variation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.05.034
Abstract: Abstract We do a thorough asymptotic analysis of nonoscillatory solutions of the q-difference equation D q ( r ( t ) D q y ( t ) ) + p ( t ) y (… read more here.
Keywords: difference; solutions difference; analysis nonoscillatory; analysis ... See more keywords
Meromorphic solutions of difference Riccati equations
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DOI: 10.1080/17476933.2016.1204605
Abstract: We are concerned with difference Riccati equations in the complex plane. We study the continuous limit of difference Riccati equations to differential Riccati equations, and compare asymptotic expansions of both of solutions. Some examples are… read more here.
Keywords: difference riccati; riccati equations; solutions difference; meromorphic solutions ... See more keywords
Asymptotic properties of solutions to difference equations of Emden-Fowler type
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DOI: 10.14232/ejqtde.2019.1.77
Abstract: We study the higher order difference equations of the following form ∆xn = an f (xσ(n)) + bn. We are interested in the asymptotic behavior of solutions x of the above equation. Assuming f is… read more here.
Keywords: difference equations; properties solutions; difference; solutions difference ... See more keywords