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Integral comparison
theorems for third order linear differential equations
Lynn Harry Erbe |
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Vol. 85 (1979), No. 1, 35–48
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Abstract |
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By means of a change of variable in the Riccati equation corresponding to the third order linear equation Ly ≡ y′′′ + p(t)y′ + q(t)y = 0 a nonlinear integral equation is obtained which has a solution obtainable by successive approximations under certain conditions on p and q. This technique allows one to obtain new sharp comparison theorems for Ly = 0. Several examples are given to illustrate the results. |
Mathematical Subject Classification 2000
Primary: 34C10
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Milestones
Received: 7 June 1978
Revised: 17 January 1979
Published: 1 November 1979
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Authors |
| Lynn Harry Erbe | |
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