Browsing Matematik Bölümü by Author "109448"

Now showing items 1-17 of 17

Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations

Kayar, Zeynep; Kaymakçalan, Billur (2022)

This paper is devoted to novel diamond alpha Hardy–Copson type dynamic inequalities, which are (Formula presented.) complements of the classical ones obtained for (Formula presented.) and their applications to difference ...
Behavior of the Solutions for Predator-Prey Dynamic Systems With Beddington-Deangelis Type Functional Response On Periodic Time Scales İn Shifts

Pelen, Neslihan Nesliye; Güvenilir, Ayşe Feza; Kaymakçalan, Billur (Hindawi Limited, 2016)

We consider two-dimensional predator-prey system with Beddington-DeAngelis type functional response on periodic time scales in shifts. For this special case we try to find under which conditions the system has δ ± -periodic ...
Bennett-Leindler Type Inequalities for Nabla Time Scale Calculus

Kayar, Zeynep; Kaymakcalan, Billur; Pelen, Neslihan Nesliye (2021-02)

In this study, we generalize the converse of Hardy and Copson inequalities, which are known as Bennett and Leindler type inequalities, for nabla time scale calculus. This generalization allows us not only to unify all the ...
Diamond alpha Bennett-Leindler type dynamic inequalities and their applications

Kayar, Zeynep; Kaymakçalan, Billur; Pelen, Neslihan Nesliye (2022-03-30)

In this paper, two kinds of dynamic Bennett-Leindler type inequalities via the diamond alpha integrals are derived. The first kind consists of eight new integral inequalities which can be considered as mixed type in the ...
Diamond alpha Hardy-Copson type dynamic inequalities

Kayar, Zeynep; Kaymakçalan, Billur (2022-02-14)

In this paper two kinds of dynamic Hardy-Copson type inequalities are derived via diamond alpha integrals. The first kind consists of twelve new integral inequalities which can be considered as mixed type in the sense that ...
Diamond-Alpha Pachpatte Type Dynamic Inequalities Via Convexity

Kayar, Zeynep; Kaymakçalan, Billur (2023-05)

Diamond-alpha Pachpatte type dynamic inequalities, which are convex generalizations of diamond-alpha Hardy−Copson type inequalities, are established to harmonize and bind foregoing related results in the delta and nabla ...
Extensions of Diamond Alpha Hardy-Copson Type Dynamic İnequalities and Their Applications to Oscillation Theory

Kayar, Zeynep; Kaymakçalan, Billur (2021-07)

This paper is devoted to 0 < ζ < 1 complements of the classical (ζ > 1) diamond alpha Hardy-Copson type dynamic inequalities and their applications to dynamic equations. We obtain two kinds of diamond alpha Hardy-Copson ...
Generalization Of Mitrinović–Pečarić Inequalities On Time Scales

El-Deeb, Ahmed A.; Akin, Elvan; Kaymakçalan, Billur (2021-12)

We prove some new inequalities of Mitrinović–Pečarić inequalities for convex functions on an arbitrary time scale using delta integrals. These inequalities extend and improve some known dynamic inequalities in the literature. ...
Generalized diamond alpha bennett-leindler-type dynamic inequalities

Kayar, Zeynep; Kaymakçalan, Billur; Pelen, Neslihan Nesliye (2023-09-18)

The dual results; delta and nabla inequalities and their special cases; continuous and discrete inequalities are unified into diamond alpha case and new forms of such results as well as new diamond alpha Bennett-Leindler-type ...
Hardy—Copson type inequalities for nabla time scale calculus

Kayar, Zeynep; Kaymakçalan, Billur (2021)

This paper is devoted to the nabla unification of the discrete and continuous Hardy-Copson type inequalities. Some of the obtained inequalities are nabla counterparts of their delta versions while the others are new even ...
Necessary and sufficient condition for existence of periodic solutions of predator-prey dynamic systems with Beddington-DeAngelis-type functional response

Pelen, Neslihan Nesliye; Güvenilir, Ayşe Feza; Kaymakçalan, Billur (Springer Open, 2016-01-22)

We consider two-dimensional predator-prey systems with Beddington-DeAngelis-type functional response on periodic time scales. For this special case, we try to find the necessary and sufficient conditions for the considered ...
On the complementary nabla Pachpatte type dynamic inequalities via convexity

Kayar, Zeynep; Kaymakçalan, Billur (2024-01)

Pachpatte type inequalities are convex generalizations of the well-known Hardy-Copson type inequalities. As Hardy-Copson type inequalities and convexity have numerous applications in pure and applied mathematics, combining ...
Oscillation criteria for even order dynamic equations on time-scales

Grace, Said R.; Agarwal, Ravi P.; Kaymakçalan, Billur (2011)

Some new criteria for the oscillation of even order linear dynamic equations on time-scales of the form xΔn(t) + q(t)x(t) = 0 are established.
Quantum calculus with the notion δ±-periodicity and its applications

Pelen, Neslihan Nesliye; Güvenilir, Ayşe Feza; Kaymakçalan, Billur (2018-05-30)

The relation between the time scale calculus and quantum calculus and the δ ± -periodicity in quantum calculus with the notion is considered. As an application, in two-dimensional predator–prey system with Beddington-DeA ...
Some Extended Nabla and Delta Hardy-Copson Type Inequalities with Applications in Oscillation Theory

Kayar, Zeynep; Kaymakçalan, Billur (2022-10)

We extend classical nabla and delta Hardy-Copson type inequalities from zeta > 1 to 0 < zeta < 1 and also use these novel inequalities to find necessary and sufficient condition for the nonoscillation of the related half ...
Some results on predator-prey dynamic systems with beddington-deangelis type functional response on time scale calculus

Pelen, Neslihan Nesliye; Güvenilir, Ayşe Feza; Kaymakçalan, Billur (Dynamic Publishers, 2017-03)

We consider two dimensional predator-prey system with Beddington-DeAngelis type functional response on time scales. For this special case, we try to find under which conditions the system is permanent and globally attractive. ...
The complementary nabla Bennett-Leindler type inequalities

Kayar, Zeynep; Kaymakçalan, Billur (2022-06-30)

We aim to find the complements of the Bennett-Leindler type inequalities in nabla time scale calculus by changing the exponent from 0 < ζ < 1 to ζ > 1. Different from the literature, the directions of the new ...

Now showing items 1-17 of 17

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Browsing Matematik Bölümü by Author "109448"

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