Abstract
Characteristic initial value problems associated with hyperbolic equations of the form u xy + g( x, y ) u = 0 are considered for ( x, y )∈ℝ + × ℝ + . New criteria for the existence of a nodal line asymptotic to the axes are established, as are criteria for the existence of a zero beyond such a nodal line. Some numerical solutions are presented in graphical form and discussed relative to what is known about oscillation properties of such problems.
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