Dear All
namamsi. I request to help me.

(1) Problem of same beginning of mantras of Different Rishis
In Rgveda we find many mantras (of different Rishis and Mandalas) begin with same wording. for example 
Ayam has more than 70 beginnings
Ava has more than 30 entry
different versions of asmad occupy atleast three pages in index
more difficult is आ which got more than nine pages in index
इति
इदं 
इन्द्र have all got their own share in index. 
क्व has some 12 mantras. Garbha has six mantra 
this list continues so on and so forth.

How different Rishis of different times and places composed mantras in same style ? (it is not possible unless all of them sat and planned)

(2) there is one more problem-
there are many mantras that are found in different Vedas. example.

Rgvedic mantra of Dirghatamas 

,१६४.४८  द्वादश प्रधयश्चक्रमेकं त्रीणि नभ्यानि क उ तच्चिकेत ।

,१६४.४८ तस्मिन्साकं त्रिशता न शङ्कवोऽर्पिताः षष्टिर्न चलाचलासः ॥ is also found in Atharvasamhita but Rshi is Kutsa with a small change. 


(१०,८.४ ) द्वादश प्रधयश्चक्रमेकं त्रीणि नभ्यानि क उ तच्चिकेत ।
(१०,८.४ ) तत्राहतास्त्रीणि शतानि शङ्कवः षष्टिश्च खीला अविचाचला ये ॥४॥

similarly, not only this mantra but whole sukta 
,१६४.०१  अस्य वामस्य पलितस्य होतुस्तस्य भ्राता मध्यमो अस्त्यश्नः ।

,१६४.०१ तृतीयो भ्राता घृतपृष्ठो अस्यात्रापश्यं विश्पतिं सप्तपुत्रम् ॥

is also found in atharvasamhita but named to be of Brahma.

Rgvedic mantra of Dirghatama

,१६४.०२  सप्त युञ्जन्ति रथमेकचक्रमेको अश्वो वहति सप्तनामा ।

,१६४.०२ त्रिनाभि चक्रमजरमनर्वं यत्रेमा विश्वा भुवनाधि तस्थुः ॥

is found in Taittiriya also  सप्त युञ्जन्ति रथमेकचक्रम् || आ॥०।३।११।२७ ||.  

This atharva mantra (of unknown Rishi)

(२०,९६.१७ ) अक्षीभ्यां ते नासिकाभ्यां कर्णाभ्यां छुबुकादधि ।

(२०,९६.१७ ) यक्ष्मं शीर्षण्यं मस्तिष्काज्जिह्वाया वि वृहामि ते ॥१७॥

is identically found as Atharva (२,३३.१ ). but Rishi is Brahma.

and there are some suktas like Purusha which have same rshi in all versions. 

How to explain the  change of Rishis even though Mantras are same and one?   

I request scholars to inform me of any satisfactory studies/papers/explanations on this repetitive mantras from western viewpoint.


--
Veeranarayana N.K. Pandurangi
Director of Academics
Dean, Faculty of Vedantas
Karnakata Samskrita University, 
Pampa Mahakavi Road,
Chamarajpet, Bengaluru.


अथ चेत्त्वमिमं धर्म्यं संग्रामं न करिष्यसि। ततः स्वधर्मं कीर्तिं च हित्वा पापमवाप्स्यसि।।
तस्मादुत्तिष्ठ कौन्तेय युद्धाय कृतनिश्चयः। निराशीर्निर्ममो भूत्वा युध्यस्व विगतज्वरः।। (भ.गी.)

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--
Veeranarayana N.K. Pandurangi
Director of Academics
Dean, Faculty of Vedantas
Karnakata Samskrita University, 
Pampa Mahakavi Road,
Chamarajpet, Bengaluru.


अथ चेत्त्वमिमं धर्म्यं संग्रामं न करिष्यसि। ततः स्वधर्मं कीर्तिं च हित्वा पापमवाप्स्यसि।।
तस्मादुत्तिष्ठ कौन्तेय युद्धाय कृतनिश्चयः। निराशीर्निर्ममो भूत्वा युध्यस्व विगतज्वरः।। (भ.गी.)

http://www.ksu.ac.in
http://www.ksu.ac.in/en/dr-veeranarayana-n-k-pandurangi/
https://groups.google.com/forum/?hl=en&fromgroups#!forum/bvparishat