A branching method for studying stability of a solution to a delay differential equation.
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Dolgii, Yu.F., Nidchenko, S.N. (2005)
Sibirskij Matematicheskij Zhurnal
Renate Schaaf (1985)
Journal für die reine und angewandte Mathematik
Dragan, Vasile, Freiling, Gerhard, Hochhaus, Andreas, Morozan, Toader (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Ahmed, N.U. (1994)
Journal of Applied Mathematics and Stochastic Analysis
Dragan Dimitrovski, Vladimir Rajović (2007)
Kragujevac Journal of Mathematics
Dennis Sullivan (1976)
Publications Mathématiques de l'IHÉS
George N. Galanis, Efstathios E. Vassiliou (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Weiguo, Li, Hongjie, Li (2003)
International Journal of Mathematics and Mathematical Sciences
Lee, Yong-Hoon (1998)
Journal of Inequalities and Applications [electronic only]
G. L. Karakostas, P. K. Palamides (2002)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Michael E. Filippakis, Nikolaos S. Papageorgiou (2006)
Archivum Mathematicum
In this paper we consider a nonlinear periodic system driven by the vector ordinary -Laplacian and having a nonsmooth locally Lipschitz potential, which is positively homogeneous. Using a variational approach which exploits the homogeneity of the potential, we establish the existence of a nonconstant solution.
J. Knežević-Miljanović (1987)
Matematički Vesnik
Bohumil Krajc (1998)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Sergio Invernizzi (1986)
Commentationes Mathematicae Universitatis Carolinae
Bahman Mehri (1977)
Archivum Mathematicum
Chang, S.H. (1985)
International Journal of Mathematics and Mathematical Sciences
Cao, Zhongwei, Yuan, Chengjun, Jiang, Daqing, Wang, Xiaowei (2010)
Mathematical Problems in Engineering
Rahmat A. Khan, Bashir Ahmad (2005)
Archivum Mathematicum
In this paper, we develop a generalized quasilinearization technique for a nonlinear second order periodic boundary value problem and obtain a sequence of approximate solutions converging uniformly and quadratically to a solution of the problem. Then we improve the convergence of the sequence of approximate solutions by establishing the convergence of order
Bogdan Przeradzki (1993)
Annales Polonici Mathematici
A connection between the Landesman-Lazer condition and the solvability of the equation Lx = N(x) in a cone with a noninvertible linear operator L is studied. The result is based on the abstract framework from [5], applied to the existence of periodic solutions of ordinary differential equations, and compared with theorems by Santanilla (see [7]).
Ioan Muntean (1970)
Aequationes mathematicae
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