Abstract <p> Sufficient conditions for the unique solvability of problems for a third-order hyperbolicequation with conditions on the characteristic and noncharacteristic lines are obtained. Solutionsto the problems are constructed in terms of a function analogous to the Riemann–Hadamardfunction.</p>

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Darboux-Type Problems for a Third-Order Hyperbolic Equation with Two Independent Variables

  • A. N. Mironov,
  • L. B. Mironova

摘要

Abstract

Sufficient conditions for the unique solvability of problems for a third-order hyperbolicequation with conditions on the characteristic and noncharacteristic lines are obtained. Solutionsto the problems are constructed in terms of a function analogous to the Riemann–Hadamardfunction.