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Nonoscillation of solutions of a class of third order differential equations

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References

  1. J. H. Barrett, Oscillation theory of ordinary linear differential equations,Advances in Mathematics,3 (1969), 415–509.

    Article  Google Scholar 

  2. G. D. Birkhoff, On solutions of the ordinary linear differential equations of the third order,Ann. of Math.,12 (1911), 103–127.

    MathSciNet  Google Scholar 

  3. L. Erbe, Existence of oscillatory solutions and asymptotic behaviour for a class of third order linear differential equations,Pacific J. Math.,64 (1976), 369–385.

    Google Scholar 

  4. M. Gregus, On some properties of the solutions of a homogeneous linear differential equation of the third order,Mat.-Fiz. Casopis Slovensk. Akad. Vied. 5 (1955), 73–78.

    Google Scholar 

  5. M. Hanan, Oscillation criteria for third order linear differential equations,Pacific J. Math.,11 (1961), 919–944.

    Google Scholar 

  6. A. C. Lazer, The behaviour of solutions of the differential equationsy‴+p(x)y′+q(x)y=0, Pacific J. Math.,17 (1966), 435–466.

    Google Scholar 

  7. N. Parhi, Nonoscillatory behaviour of solutions of non-homogeneous third order differential equations,Applicable Analysis,12 (1981), 273–285.

    Google Scholar 

  8. N. Parhi and S. Parhi, Oscillation and nonoscillation theorems for nonhomogeneous third order differential equations,Bulletin Inst. Math. Academia Sinica,11 (1983), 125–139.

    Google Scholar 

  9. N. Parhi and S. Parhi, On the behaviour of solutions of the differential equation(r(t)y″)′+q(t)(y′) β+p(t)yz=f(t),Annales Polonici Mathematici,47 (1986), 137–148.

    Google Scholar 

  10. N. Parhi and S. Parhi, Nonoscillation and asymptotic behaviour for forced nonlinear third order differential equations,Bulletin Inst. Math., Academia Sinica,13 (1985), 367–384.

    Google Scholar 

  11. Ch. G. Philos, Oscillation and asymptotic behaviour of third order linear differential equations,Bulletin Inst. Math., Academia Sinica,11 (1983), 141–160.

    Google Scholar 

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  1. Department of Mathematics, Berhampur University, 760007, Berhampur, Orissa, India

    N. Parhi

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  1. N. Parhi
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Parhi, N. Nonoscillation of solutions of a class of third order differential equations. Acta Math Hung 54, 79–88 (1989). https://doi.org/10.1007/BF01950712

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