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WANG Pei-guang, GE Wei-gao. Oscillatory Criteria for a Class of Boundary Value Problem of Nonlinear Hyperbolic Equations[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1999, 8(1): 19-23.
Citation: WANG Pei-guang, GE Wei-gao. Oscillatory Criteria for a Class of Boundary Value Problem of Nonlinear Hyperbolic Equations[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1999, 8(1): 19-23.
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Oscillatory Criteria for a Class of Boundary Value Problem of Nonlinear Hyperbolic Equations

  • Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081

  • Received Date:1998-04-13
    Abstract
  • Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments. Methods An averaging technique was used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Results and Conclusion The known results of oscillation of solutions for a class of boundary value problem of hyperbolic partial functional differential equations with discrete deviating arguments are generalized, and the oscillatory criteria of solutions for such equation with two kinds of boundary value conditions are obtained.
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