Year 2013

• Positive solutions to second-order differential equations with dependence on the first-order derivative and nonlocal boundary conditions

  Publication

  • T. Jankowski

  - Boundary Value Problems - Year 2013

  In this paper, we consider the existence of positive solutions for second-order differential equations with deviating arguments and nonlocal boundary conditions. By the fixed point theorem due to Avery and Peterson, we provide sufficient conditions under which such boundary value problems have at least three positive solutions. We discuss our problem both for delayed and advanced arguments α and also in the case when α(t)=t, t∈[0,1]....

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Year 2006

• Second-order differential equations with deviating arguments

  Publication

  • T. Jankowski
  • W. Szatanik

  - Boundary Value Problems - Year 2006

  Podane zostały warunki dostateczne na istnienie kwazi-rozwiązań oraz na istnienie jedynego rozwiązania dla równań różniczkowych rzędu drugiego z warunkami brzegowymi i odchylonymi argumentami. Otrzymane wyniki zilustrowano przykładami i wykresami.

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