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Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations
solutions of the halflinear q-difference equation D-q(Phi(D(q)y(t))) + p(t)Phi(y(qt)) = 0, t is an element of {q(k) : k is an element of N-0} with q > 1, Phi(u) = vertical bar u vertical bar(alpha-1) sgn ...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Second order linear q-difference equations: nonoscillation and asymptotics
equations. The q-Karamata theory was recently introduced as the theory of regularly varying like functions on the lattice qNo:={qk:k N0] with q>1. In addition introduce q-regularly bounded functi...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
q-regular variation and q-difference equations
We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Regularly varying sequences and second order difference equations
Some basic properties of regularly varying sequences are presented here and applied to the study of the asymptotic behavior of decreasing solutions of half-linear difference equations. Relations with the classification of n...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Secon Order Linear Difference Equations and Karamata Sequences
We establisch necessary and sufficient conditions for all positive solutions of a linear second order difference equation to be Karamata sequences, i.e., slowly varying or regularly varying or rapidly varying
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Second Order Linear Difference Equations and Karamata Sequences
We establish necessary and sufficient conditions for all positive solutions of a linear second order difference equation to be Karamata sequences, i.e., slowly varying or regularly varying or rapidly varying
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
q-Karamata functions and second order q-difference equations
In this paper we introduce and study q-rapidly varying functions on the lattice q(N0) := {q(k) : k is an element of N(0)}, q > 1, which naturally extend the recently established concept of q-r...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Regularly varying decreasing solutions of half-linear dynamic equations
Necessary and sufficient conditions in terms of the integral of the coefficient are derived under which positive decreasing solutions of a half-linear dynamic equation are (normalized) regularly varying of a known index....
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Theory of regularly and rapidly varying functions on time scales and its application to dynamic equations
The aims of this tbook are two. First, to establish the theory of regular and rapid variation on time scales, which would naturally supplement and extend the existing theory of regular and rapid variation from the continuous and discrete case. Second...
BA - Obecná matematika
- 2011 •
- B
Rok uplatnění
B - Odborná kniha
Kummer test and regular variation
be rewritten in terms of recently introduced concept of refined regularly varying sequences with respect to an auxiliary sequence tau. The theory of such sequences can be developed the existing results fo...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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