BEHAVIOR OF SOLUTIONS OF NONLINEAR FUNCTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS


GRAEF J. R. , Tunc C. , Sevgin S.

DYNAMIC SYSTEMS AND APPLICATIONS, cilt.25, ss.39-46, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 25
  • Basım Tarihi: 2016
  • Dergi Adı: DYNAMIC SYSTEMS AND APPLICATIONS
  • Sayfa Sayıları: ss.39-46

Özet

The authors consider the nonlinear functional Volterra integro-differential equation with multiple delays

The authors consider the nonlinear functional Volterra integro-differential equation

with multiple delays. They give sufficient conditions so that solutions are bounded, belong to L1, or belong to L2. They also prove the stability and global asymptotic stability of the zero solution. Their technique of proof involves defining appropriate Lyapunov functionals.