EN
On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity
Öz
Some
nonlinear parabolic integro-differential equations with variable exponents of
the nonlinearity are considered. The initial-boundary value problem for these
equations is investigated and the existence theorem for the problem is proved.
Anahtar Kelimeler
Kaynakça
- R. A. Adams. Sobolev spaces. Academic Press, New York, San Francisco, London, 1975.
- S. Antontsev, S. Shmarev. Evolution PDEs with nonstandard growth conditions. Existence, uniqueness, localization, blow-up. Atlantis Studies in Diff. Eq., Vol. 4, Paris: Atlantis Press, 2015.
- J. P. Aubin. Un theoreme de compacite, Comptes rendus hebdomadaires des seances de l’academie des sciences. 256, No 24 (1963) 5042-5044.
- T. A. Averina, K. A. Rybakov. New methods of analysis of the Poisson delta-impulse in problem of radiotechnics, J. of Radioelectronics. 1 (2013) 1-20.
- F. Bernis. Existence results for doubly nonlinear higher order parabolic equations on unbounded domains, Math. Ann. 279 (1988) 373-394.
- M. Bokalo, V. Dmytriv. Boundary value problems for integro-differential equations in asicotropic spaces, Visnyk (Herald) of Lviv Univ. Series Mech.-Math. 59 (2001) 84-101.
- T. M. Bokalo, O. M. Buhrii. Doubly nonlinear parabolic equations with variable exponents of nonlinearity, Ukr. Math. J. 63, No 5 (2011) 709-728 (Translated from Ukr. Mat. Z. 63, No 5 (2011) 612-628).
- H. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, New York, Dordrecht, Heidelberg, London, 2011.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
1 Temmuz 2017
Gönderilme Tarihi
5 Kasım 2016
Kabul Tarihi
27 Şubat 2017
Yayımlandığı Sayı
Yıl 2017 Cilt: 5 Sayı: 3
APA
Buhrii, O., & Buhrii, N. (2017). On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity. New Trends in Mathematical Sciences, 5(3), 128-153. https://izlik.org/JA73HN35HN
AMA
1.Buhrii O, Buhrii N. On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity. New Trends in Mathematical Sciences. 2017;5(3):128-153. https://izlik.org/JA73HN35HN
Chicago
Buhrii, Oleh, ve Nataliya Buhrii. 2017. “On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity”. New Trends in Mathematical Sciences 5 (3): 128-53. https://izlik.org/JA73HN35HN.
EndNote
Buhrii O, Buhrii N (01 Temmuz 2017) On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity. New Trends in Mathematical Sciences 5 3 128–153.
IEEE
[1]O. Buhrii ve N. Buhrii, “On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity”, New Trends in Mathematical Sciences, c. 5, sy 3, ss. 128–153, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA73HN35HN
ISNAD
Buhrii, Oleh - Buhrii, Nataliya. “On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity”. New Trends in Mathematical Sciences 5/3 (01 Temmuz 2017): 128-153. https://izlik.org/JA73HN35HN.
JAMA
1.Buhrii O, Buhrii N. On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity. New Trends in Mathematical Sciences. 2017;5:128–153.
MLA
Buhrii, Oleh, ve Nataliya Buhrii. “On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity”. New Trends in Mathematical Sciences, c. 5, sy 3, Temmuz 2017, ss. 128-53, https://izlik.org/JA73HN35HN.
Vancouver
1.Oleh Buhrii, Nataliya Buhrii. On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity. New Trends in Mathematical Sciences [Internet]. 01 Temmuz 2017;5(3):128-53. Erişim adresi: https://izlik.org/JA73HN35HN