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Myshkis type oscillation criteria for second-order linear delay differential equations. (English) Zbl 1325.34077

Summary: New Myshkis type oscillation criteria for second-order linear delay differential equations are obtained which generalise and, under some natural additional assumptions, improve previously known results.

MSC:

34K11 Oscillation theory of functional-differential equations
34K06 Linear functional-differential equations
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References:

[1] Brands, J.J.A.M.: Oscillation theorems for second-order functional differential equations. J. Math. Anal. Appl. 63, 54-64 (1978) · Zbl 0384.34049 · doi:10.1016/0022-247X(78)90104-X
[2] Koplatadze, R.: Oscillation criteria for solutions of second order differential inequalities and equations with retarded argument. Tr. Inst. Prikl. Mat. Im. I. N. Vekua 17, 104-121 (1986, in Russian) · Zbl 0645.34027
[3] Myshkis, A.D.: Linear Differential Equations with Retarded Argument. Izdat. Nauka, Moscow (1972). in Russian · Zbl 0261.34040
[4] Ohriska, J.: Oscillation of second-order linear delay differential equations. Cent. Eur. J. Math. 6(3), 439-452 (2008) · Zbl 1153.34344 · doi:10.2478/s11533-008-0030-z
[5] Opluštil, Z., Šremr, J.: On oscillations of solutions to second-order linear delay differential equations. Georgian Math. J. 20(1), 65-94 (2013) · Zbl 1272.34093
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