Periodic solutions in superlinear parabolic problems.
Húska, J. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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Húska, J. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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Jangveladze, T., Kiguradze, Z. (2002)
Georgian Mathematical Journal
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Brzychczy, Stanisław (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Mavinga, Nsoki, Nkashama, Mubenga N. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lubomira G. Softova (2001)
Extracta Mathematicae
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Wenjie Gao, Junyu Wang (1995)
Annales Polonici Mathematici
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The periodic boundary value problem u''(t) = f(t,u(t),u'(t)) with u(0) = u(2π) and u'(0) = u'(2π) is studied using the generalized method of upper and lower solutions, where f is a Carathéodory function satisfying a Nagumo condition. The existence of solutions is obtained under suitable conditions on f. The results improve and generalize the work of M.-X. Wang et al. [5].
Pavol Quittner (1996)
Banach Center Publications
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Pudełko, Anna (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Voisei, Mircea D. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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J. I. Díaz (2001)
Extracta Mathematicae
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Stanisław Brzychczy (1999)
Annales Polonici Mathematici
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We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.
Qi, Aiqin, Liu, Yansheng (2000)
Georgian Mathematical Journal
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Bychowska, A. (2002)
Georgian Mathematical Journal
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