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On certain asymptotic class of solutions to second order linear q-difference equations
The paper deals with the linear second order $q$-difference equation $y(q^2t)+a(t)y(qt)+b(t)y(t)=0$, $b(t)ne 0$, considered on ${q^k:kinN_0}$, $q>1$. The class of functions sa...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
q-regular variation and q-difference equations
is applied to an investigation of asymptotic behaviour of solutions to linear second order &q&-difference equations.We introduce the concept of $q$-regularly varying functions and establish basic...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On certain asymptotic class of solutions to second-order linear q-diference equations
The paper deals with the linear second order $q$-difference equation $y(q^2t)+a(t)y(qt)+b(t)y(t)=0$, $b(t)ne 0$, considered on ${q^k:kinN_0}$, $q>1$. The class of functions satis...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Second order linear q-difference equations: nonoscillation and asymptotics
The paper can be undestood as a completion of the q-Karamata theory along with a related discussion on the asymptotic behavior of solutions to the linear q-difference equations. The q-Karamata theory was r...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Theory of regularly and rapidly varying functions on time scales and its application to dynamic equations
. Second, toapply the obtained theory in a study of asymptotic behavior of solutions to linear and half-linear second order dynamic equations on time scales....
BA - Obecná matematika
- 2011 •
- B
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B - Odborná kniha
q-Karamata functions and second order q-difference equations
functions is then applied to half-linear q-difference equations to get information about other q-difference equations, which then may serve to predict how their (trickilyIn this paper we introduc...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A note on asymptotics and nonoscillation of linear $q$-difference equations
We study the linear second order $q$-difference equation $ y(q^2t)+a(t)y(qt)+b(t)y(t)=0 $ on the $q$-uniform lattice ${q^k:kinN_0}$ with $q>1$, where $b(t satisfying ...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
An almost-periodicity criterion for solutions of the oscillatory differential equation y''=q(t)y and its applications
The paper presents a criterion for the almost-periodicity of all bounded solutions to the oscillatory equation y''=q(t)y with almost-periodic coefficient q to the existence of almost-periodic solutions of nonhomogeneous
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Global monotonicity and oscillation for second order differential equation
Oscillatory properties of the second order nonlinear equation (r(t)x')' +q(t)f(x)=0 are investigated.In particular, criteria for the existence of at least one oscillatory solution and for the global monotonicity pr...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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