On some boundary value problems for a system of two second-order equations |
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Authors: | Yu A Klokov |
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Institution: | 1. Institute for Mathematics and Computer Science, Riga, Latvia
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Abstract: | For a two-point homogeneous boundary value problem for a system of two nonlinear second-order differential equations, we suggest sufficient solvability conditions (in particular, stated, like Bernstein conditions, in terms of the growth of the absolute values of the right-hand sides of the system with respect to the derivatives of the unknown functions). We obtain a priori estimates for solutions. |
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