Abstract. In this work, oscillatory and asymptotic behaviours of all solutions of higher-order neutral differential equations are compared with first-order delay differential equations, depending on two different ranges of the coefficient associated with the neutral part. Some simple examples are given to compare our results with the existing results in the literature and to illustrate the significance and applicability of our new results. Our results generalise, improve and correct some of the existing results in the literature.2000 Mathematics Subject Classification. 34K11, 34C15.

In this article, the operator ✸ k B is introduced and named as the Bessel diamond operator iterated k times and is defined by. . , n, k is a non-negative integer and n is the dimension of R + n . In this work we study the elementary solution of the Bessel diamond operator and the elementary solution of the operator ✸ k B is called the Bessel diamond kernel of Riesz. Then, we study the Fourier-Bessel transform of the elementary solution and also the Fourier-Bessel transform of their convolution.

No abstract

Bu makalenin asıl amacı alfa Kenmotsu pseudo metrik manifoldlar üzerinde bazı eğrilik özelliklerini incelemektir. Özellikle bu tür manifoldlar üzerinde lokal simetri, global-simetri ve lokal-simetri gibi tensör koşulları bazı ek şartlar altında göz önüne alınmıştır. Ayrıca,-Einstein ve Einstein manifoldlar için gerek ve yeter koşullar çalışılmıştır. Bundan başka,-kesit ve-kesit eğrilikleri ile ilgili bazı sonuçlar alfa Kenmotsu pseudo metrik manifoldlar üzerinde verilmiştir. Son olarak, makale alfa Kenmotsu pseudo metrik manifoldlar için açıklayıcı bir örnekle sonlandırılmıştır.

This paper deals with obtaining some sufficient conditions for oscillation of high order neutral fractional integro-differential equations. The obtained results are mentioned for the first time in the literature for the oscillation of Caputo-Fabrizio fractional integro-differential equations. Finally, an illustrative example is given to verify our main results.