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Andres, Ján
On some modification of the Levinson operator and its application to a three-point boundary value problem. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 29 (1990), issue 1, pp. 35-43
MSC: 34B10, 34B15, 47H15, 47N20 | MR 1144829 | Zbl 0756.34024
References:
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[2] Levinson N.: On the existence of periodic solutions of second order differential equations with a forcing term. J. Math. Phys. 22 (1943), 41-48. MR 0008866
[3] Krasnoselskii M.A.: Translation operator along the trajectories of differential equations. Nauka, Moscow (1966) (in Russian). MR 0203159
[4] Mawhin J.: Topological degree methods in nonlinear boundary value problems. CBMS Reg. Conf. Math., No.40, AMS, Providence (1979). MR 0525202 | Zbl 0414.34025
[5] Hille E.: On the Landau-Kallman-Rota inequality. J. Approx. Theory 6 (1972), 117-122. MR 0343095 | Zbl 0238.47007
[6] Mawhin J.: Boundary value problems at resonance for vector second order nonlinear differential equations. Sém. Math. Appl. Méc., No.103, Nov., Louvain (1977).
[7] Bebernes J.W.: A simple alternative problem for finding periodic solutions of second order ordinary differential systems. Proceed. Amer. Math. Soc. 42, 1 (1974), 21-127. MR 0330597 | Zbl 0286.34055
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