The sturm separation theorem for impulsive delay differential equations

Alexander Domoshnitsky, Vladimir Raichik

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Wronskian is one of the classical objects in the theory of ordinary differential equations. Properties of Wronskian lead to important conclusions on behaviour of solutions of delay equations. For instance, non-vanishing Wronskian ensures validity of the Sturm separation theorem (between two adjacent zeros of any solution there is one and only one zero of every other nontrivial linearly independent solution) for delay equations. We propose the Sturm separation theorem in the case of impulsive delay differential equations and obtain assertions about its validity.

Original languageEnglish
Pages (from-to)65-70
Number of pages6
JournalTatra Mountains Mathematical Publications
Issue number1
StatePublished - 1 Dec 2018


  • Sturm separation theorem
  • Wronskian
  • delay differential equations


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