1. Home
  2. Browse by Author

Browsing by Author "Akgol, S. D."

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • Results Per Page
  • Sort Options
  • Loading...
    Thumbnail Image
    Article
    Citation - WoS: 4
    Citation - Scopus: 3
    Boundary Value Problems on Half-Line for Second-Order Nonlinear Impulsive Differential Equations
    (Wiley, 2018) Akgol, S. D.; Zafer, A.; Mathematics
    We obtain sufficient conditions for existence and uniqueness of solutions of boundary value problems on half-line for a class of second-order nonlinear impulsive differential equations. Our technique is different than the traditional ones, as it is based on asymptotic integration method involving principal and nonprincipal solutions. Examples are provided to illustrate the relevance of the results.
  • Loading...
    Thumbnail Image
    Article
    Citation - WoS: 8
    Citation - Scopus: 7
    Leighton and Wong Type Oscillation Theorems for Impulsive Differential Equations
    (Pergamon-elsevier Science Ltd, 2021) Akgol, S. D.; Zafer, A.; Mathematics
    We obtain the well-known Leighton and Wong oscillation theorems for a general class of second-order linear impulsive differential equations by making use of the recently established results on the existence of nonprincipal solutions. The results indicate that the oscillation character of solutions may be altered by the impulsive perturbations, which is not the case in most published works. Another difference is that the equations are quite general in the sense that the impulses are allowed to appear on both solutions and their derivatives. Examples are also given to illustrate the importance of the results. (C) 2021 Elsevier Ltd. All rights reserved.