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Solvability of a class of second-order quasilinear boundary value problems
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作者 姚庆六 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第8期1055-1062,共8页
The second-order quasilinear boundary value problems are considered when the nonlinear term is singular and the limit growth function at the infinite exists. With the introduction of the height function of the nonline... The second-order quasilinear boundary value problems are considered when the nonlinear term is singular and the limit growth function at the infinite exists. With the introduction of the height function of the nonlinear term on a bounded set and the consideration of the integration of the height function, the existence of the solution is proven. The existence theorem shows that the problem has a solution if the integration of the limit growth function has an appropriate value. 展开更多
关键词 quasilinear ordinary differential equation two-point boundary value problem SOLVABILITY lebesgue dominated convergence theorem
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