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References
F. Atkinson, On second-order nonlinear oscillations, Pacific J. Math. 5(1955), 643–647.
K. Kreith, Sturmian theorems for hyperbolic equations, Proc. Amer. Math. Soc. 22(1969), 277–281.
_____, Sturm theory for partial differential equations of mixed type, Proc. Amer. Math. Soc. 81(1981), 75–78.
Y. Kitamura and T. Kusano, Nonlinear oscillation of higher order functional differential equations with deviating arguments, J. Math. Anal. and Appl., to appear.
T. Kusano and M. Naito, Oscillation criteria for a class of perturbed Schrodinger equations, to appear.
Z. Nehari, On a class of nonlinear second order differential equations, Trans. Amer. Math. Soc. 95(1960), 101–123.
G. Pagan, Oscillation theorems for characteristic initial value problems for linear hyperbolic equations, Rend. Accad. Naz. Lincei 55(1973), 301–313.
_____, An oscillation theorem for characteristic initial value problems in linear hyperbolic equations, Proc. Royal Soc. Edinburgh 77A(1977), 265–271.
W. Trench, Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math. Soc. 189(1974), 319–327.
N. Yoshida, An oscillation theorem for characteristic initial value problems for nonlinear hyperbolic equations, Proc. Amer. Math. Soc. 76(1979), 95–100.
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© 1982 Springer-Verlag
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Kreith, K. (1982). Qualitative theory of hyperbolic characteristic initial value problems. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065013
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DOI: https://doi.org/10.1007/BFb0065013
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