A solution of is said to oscillatory if it is neither eventually positive nor eventually negative, otherwise it is called nonoscillatory. |
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Classification schemes for nonoscillatory solutions of twodimensional nonlinear difference systems. |
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In fact, the three papers mentioned above are concerned with the existence of bounded nonoscillatory solutions while ours will include the cases of bound and unboundedness. |
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We find the nonoscillatory assumption in Equation 1 intuitively appealing. |
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So B is bounded, and therefore the solutions are nonoscillatory. |
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