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## Some new oscillation criteria for second-order hybrid differential equations

#### G. E. CHATZARAKİS [1] , M. DEEPA [2] , N. NAGAJOTHİ [3] , V SADHASİVAM [4]

In this paper, we consider the second order hybrid differential equations. For this class of equations, we establish a new criterion to check whether all solutions of an equation, in this class, oscillate. We prove this criterion, using a generalized Riccati technique and an averaging method. The established oscillatory criteria have a distinct form, from all other relevant criteria, in the literature. We illustrate the validity of our results by means of various examples.

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Oscillation, Hybrid Differential Equation, Riccati technique
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-0477-1895Author: G. E. CHATZARAKİS Institution: School of Pedagogical and Technological Education (ASPETE)Country: Greece Orcid: 0000-0001-6210-4911Author: M. DEEPA Institution: Thiruvalluvar Government Arts CollegeCountry: India Orcid: 0000-0002-3635-2396Author: N. NAGAJOTHİ Institution: Thiruvalluvar Government Arts CollegeCountry: India Orcid: 0000-0001-5333-0001Author: V SADHASİVAM (Primary Author)Institution: Thiruvalluvar Government Arts CollegeCountry: India Publication Date : August 6, 2020
 Bibtex @research article { hujms541773, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {1334 - 1345}, doi = {10.15672/hujms.541773}, title = {Some new oscillation criteria for second-order hybrid differential equations}, key = {cite}, author = {Chatzaraki̇s, G. E. and Deepa, M. and Nagajothi̇, N. and Sadhasi̇vam, V} } APA Chatzaraki̇s, G , Deepa, M , Nagajothi̇, N , Sadhasi̇vam, V . (2020). Some new oscillation criteria for second-order hybrid differential equations . Hacettepe Journal of Mathematics and Statistics , 49 (4) , 1334-1345 . DOI: 10.15672/hujms.541773 MLA Chatzaraki̇s, G , Deepa, M , Nagajothi̇, N , Sadhasi̇vam, V . "Some new oscillation criteria for second-order hybrid differential equations" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1334-1345 Chicago Chatzaraki̇s, G , Deepa, M , Nagajothi̇, N , Sadhasi̇vam, V . "Some new oscillation criteria for second-order hybrid differential equations". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1334-1345 RIS TY - JOUR T1 - Some new oscillation criteria for second-order hybrid differential equations AU - G. E. Chatzaraki̇s , M. Deepa , N. Nagajothi̇ , V Sadhasi̇vam Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.541773 DO - 10.15672/hujms.541773 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1334 EP - 1345 VL - 49 IS - 4 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.541773 UR - https://doi.org/10.15672/hujms.541773 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Some new oscillation criteria for second-order hybrid differential equations %A G. E. Chatzaraki̇s , M. Deepa , N. Nagajothi̇ , V Sadhasi̇vam %T Some new oscillation criteria for second-order hybrid differential equations %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 4 %R doi: 10.15672/hujms.541773 %U 10.15672/hujms.541773 ISNAD Chatzaraki̇s, G. E. , Deepa, M. , Nagajothi̇, N. , Sadhasi̇vam, V . "Some new oscillation criteria for second-order hybrid differential equations". Hacettepe Journal of Mathematics and Statistics 49 / 4 (August 2020): 1334-1345 . https://doi.org/10.15672/hujms.541773 AMA Chatzaraki̇s G , Deepa M , Nagajothi̇ N , Sadhasi̇vam V . Some new oscillation criteria for second-order hybrid differential equations. Hacettepe Journal of Mathematics and Statistics. 2020; 49(4): 1334-1345. Vancouver Chatzaraki̇s G , Deepa M , Nagajothi̇ N , Sadhasi̇vam V . Some new oscillation criteria for second-order hybrid differential equations. Hacettepe Journal of Mathematics and Statistics. 2020; 49(4): 1334-1345.

Authors of the Article
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