Picone's Identity for Ordinary Differential Operators of Even Order

Takasi Kusano; Norio Yoshida

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 58, Issue: 4, page 524-530
  • ISSN: 0392-7881

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Kusano, Takasi, and Yoshida, Norio. "Picone's Identity for Ordinary Differential Operators of Even Order." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 58.4 (1975): 524-530. <http://eudml.org/doc/291346>.

@article{Kusano1975,
author = {Kusano, Takasi, Yoshida, Norio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {4},
number = {4},
pages = {524-530},
publisher = {Accademia Nazionale dei Lincei},
title = {Picone's Identity for Ordinary Differential Operators of Even Order},
url = {http://eudml.org/doc/291346},
volume = {58},
year = {1975},
}

TY - JOUR
AU - Kusano, Takasi
AU - Yoshida, Norio
TI - Picone's Identity for Ordinary Differential Operators of Even Order
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/4//
PB - Accademia Nazionale dei Lincei
VL - 58
IS - 4
SP - 524
EP - 530
LA - eng
UR - http://eudml.org/doc/291346
ER -

References

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  1. CIMMINO, G. (1930) - Autosoluzioni e autovalori nelle equazioni differenziali lineari ordinarie autoaggiunte di ordine superiore, «Math. Z.», 32, 4-58. Zbl56.0397.01MR1545150DOI10.1007/BF01194618
  2. CIMMINO, G. (1938) - Estensione dell'identità di Picone alla più generale equazione differeziale lineare ordinaria autoaggiunta, «Atti Accad. Naz. Lincei Rend.», 28, 354-364. Zbl65.0374.03
  3. COPPEL, W. A. (1971) - Disconjugacy, Lecture Notes in Mathematics, Vol. 220, Springer, Berlin. MR460785
  4. DUNNINGER, D. R. (1971) - A Picone integral identity for a class of fourth order elliptic differential inequalities, «Atti Accad. Naz. Lincei Rend.», 50, 630-641. Zbl0249.35023MR312039
  5. EATHAM, M. S. P. (1973) - The Picone identity for self-adjoint differential equations of even order, «Mathematika», 20, 197-200. MR344591DOI10.1112/S0025579300004769
  6. HALANAY, A. and ŠANDOR, Š. (1957) - Sturm-type theorems for self-adjoint systems of differential equations of higher order, «Dokl. Akad. Nauk SSSR», 114, 506-507 (Russian). Zbl0079.10701MR98869
  7. KREITH, K. (1969) - A comparison theorem for fourth order differential equations, «Atti Accad. Naz. Lincei Rend.», 46, 664-666. Zbl0188.14603MR265682
  8. KREITH, K. (1972) - A Picone identity for fourth order differential equations, «Atti Accad. Naz. Lincei Rend.», 52, 455-456. Zbl0265.34046MR330624
  9. KUKS, L. M. (1974) - A Sturm-type comparison theorem for systems of ordinary differential equations of the fourth order, «Differencial’nye Uravnenija», 10, 751-754 (Russian). MR335942
  10. MORSE, M. (1934) - The Calculus of Variations in the Large, Colloquium Publications, Vol. 18, American Mathematical Society, Providence, R. I. Zbl60.0450.01MR1451874
  11. SANSONE, G. (1948) - Equazioni Differenziali nel Campo Reale, Parte prima, Nicola Zanichelli Editore, Bologna. Zbl0041.41903MR30663

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