Abstract
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.
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Brands, J.J.A.M.: Oscillation theorems for second-order functional differential equations. J. Math. Anal. Appl. 63, 54–64 (1978)
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)
Myshkis, A.D.: Linear Differential Equations with Retarded Argument. Izdat. Nauka, Moscow (1972). in Russian
Ohriska, J.: Oscillation of second-order linear delay differential equations. Cent. Eur. J. Math. 6(3), 439–452 (2008)
Opluštil, Z., Šremr, J.: On oscillations of solutions to second-order linear delay differential equations. Georgian Math. J. 20(1), 65–94 (2013)
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Communicated by A. Constantin.
For the first author, published results were also supported by Grant No. FSI-S-14-2290 “Modern methods of applied mathematics in engineering”. For the second author, the research was supported by RVO: 67985840.
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Opluštil, Z., Šremr, J. Myshkis type oscillation criteria for second-order linear delay differential equations. Monatsh Math 178, 143–161 (2015). https://doi.org/10.1007/s00605-014-0719-y
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DOI: https://doi.org/10.1007/s00605-014-0719-y