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oscillatory; nonoscillatory; exterior domain; elliptic; functional equation

References:

[1] L. S. Chen: **On the oscillation and asymptotic properties for general nonlinear differential equations**. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 51 (1976), 211–216. MR 0481263

[2] J. R. Graef: **Oscillation, nonoscillation and growth of solutions of nonlinear functional differential equations of arbitrary order**. J. Math. Anal. Appl. 60 (1977), 398-409. MR 0454249 | Zbl 0377.34023

[3] M. E. Hammett: **Nonoscillation properties of a nonlinear differential equation**. Proc. Amer. Math. Soc. 30 (1971), 92–96. MR 0279384 | Zbl 0215.15001

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[5] T. Kusano and H. Onose: **Nonoscillation theorems for differential equations with deviating argument**. Pacific J. Math. 62 (1976), 185–192. MR 0417536

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[7] B. Singh and R. S. Dahiya: **On oscillation of second order retarded equations**. J. Math. Anal. Appl. 47 (1974), 504–512. MR 0355269

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[12] B. Singh: **General functional differential equations and their asymptotic oscillatory behavior**. Yokohama Math. J. 24 (1976), 125–132. MR 0425309 | Zbl 0361.34062

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[14] B. Singh: **Necessary and sufficient conditions for eventual decay of oscillations in general functional equations with delays**. Hiroshima Math. J. 10 (1980), 1–9. MR 0558845

[15] B. Singh: **On the oscillation of a Volterra integral equation**. Czechoslovak Math. J. 45 (1995), 699–707. MR 1354927 | Zbl 0847.45003

[16] B. Singh: **Necessary and sufficient conditions for eventually vanishing oscillatory solutions of functional equations with small delays**. Internat. J. Math. & Math. Sci. 1 (1978), 269–283. MR 0510559 | Zbl 0389.34048