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On the zeros of solutions of nonhomogeneous third order differential equations
Czechoslovak Mathematical Journal, Tome 41 (1991) no. 4, pp. 641-652 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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DOI : 10.21136/CMJ.1991.102496
Classification : 34C10 
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Parhi, N.; Das, P. C. On the zeros of solutions of nonhomogeneous third order differential equations. Czechoslovak Mathematical Journal, Tome 41 (1991) no. 4, pp. 641-652. doi: 10.21136/CMJ.1991.102496

[1] L. Erbe: Existence of oscillatory solutions and asymptotic behavior for a class of third order linear differential equations. Pacific J. Math. 64 (1976), 369-385. | DOI | MR | Zbl

[2] M. Gera: Some oscillation conditions for a linear third order differential equations. Soviet Math. Dokl. 36 (2) (1988), 277-280. | MR

[3] M. Greguš: Third Order Linear Differential Equations. D. Reidel Pub. Co. Boston, Tokyo, 1987. | MR

[4] M. Hanan: Oscillation criteria for third order linear differential equations. Pacific J. Math. 11 (1961), 919-944. MR 26 # 2695. | DOI | MR | Zbl

[5] G. Jayaraman N. Padmanabhan, R. Mehrotra: Entry flow into a circular tube of slowly varying cross-section. Fluid Dynamics Research 1 (1986), 131-144. The Japan Society of Fluid Mechanics. | DOI

[6] Gary D. Jones: Oscillation criteria for third order differential equations. SIAM J. Math. Anal. 7 (1976), 13-15. | DOI | MR

[7] Gary D. Jones: Oscillation properties of $y" + p(x) y = f(x)$. Academia Nazionale Del Lincei. 57 (1974), 337-341. | MR

[8] M. S. Keener: On the solutions of certain linear nonhomogeneous second-order differential equations. Applicable Analysis 1 (1971), 57-63. | DOI | MR | Zbl

[9] A. C. Lazer: The behaviour of solutions of the differential equation $y'" + p(x) y' + q(x) y = = 0$. Pacific J. Math. 17 (1966), 435-466. MR 33 # 1552. | DOI | MR

[10] Zeev Nehari: Oscillation criteria for second-order linear differential equations. Trans. Amer. Math. Soc. 85 (1957), 428-444. | DOI | MR

[11] W. Leighton, Z. Nehari: On the oscillation of solutions of self-adjoint linear differential equations of the fourth order. Trans. Amer. Math. Soc. 89 (1958), 325-377. | DOI | MR

[12] N. Parhi, P. Das: On nonoscillation of third order differential equations. Communicated. | Zbl

[13] R. E. Sitter, S. C. Tefteller: Oscillation of a fourth order nonhomogeneous differential equation. J. Math. Anal. Appl. 59 (1977), 93-104. | DOI | MR | Zbl

[14] A. Skidmore, W. Leighton: On the differential equation $у" + p(x)y = f(x)$. J. Math. Anal. Appl. 43 (1973), 46-55. | MR

[15] C. A. Swanson: Comparison and Oscillation Theory of Linear Differential Equations. Academic Press, New York and London, 1968. | MR | Zbl

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