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The Distance between Points of a Solution of a Second Order Linear Differential Equation Satisfying General Boundary Conditions

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  • Pedro Almenar
  • Lucas Jódar

Abstract

This paper presents a method to obtain lower and upper bounds for the minimum distance between points and of the solution of the second order linear differential equation satisfying general separated boundary conditions of the type and . The method is based on the recursive application of a linear operator to certain functions, a recursive application that makes these bounds converge to the exact distance between and as the recursivity index grows. The method covers conjugacy and disfocality as particular cases.

Suggested Citation

  • Pedro Almenar & Lucas Jódar, 2014. "The Distance between Points of a Solution of a Second Order Linear Differential Equation Satisfying General Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-17, May.
    • Handle: RePEc:hin:jnlaaa:126713
    DOI: 10.1155/2014/126713
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