On the stability of hyperbolic difference equations with unbounded delay term
Ashyralyev A. Vlasov V.V. Ashyralyyev C.
July 2023Birkhauser
Boletin de la Sociedad Matematica Mexicana
2023#29Issue 2
The paper studies the unconditionally stable difference scheme for the approximate solution of the hyperbolic differential equation with unbounded delay term {vtt(t)+A2v(t)=a(vt(t-w)+Av(t-w))+f(t),t∈(0,∞),v(t)=φ(t),t∈[-w,0]in a Hilbert space H with a self-adjoint positive definite operator A. The main theorem on unconditionally stability estimates for the solutions of this problem are established. Numerical results and explanatory illustrations are presented show the validation of the theoretical results.
35K60 , 35L20 , 39A30 , 65M06 , Difference scheme (DS) , Hyperbolic equation (HE) , Stability , Unbounded delay term (UDT)
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Bahcesehir University, Istanbul, 34353, Turkey
RUDN University, Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Faculty of Mechanics and Mathematics, Moscow State University named after M.V Lomonosov, Moscow, Russian Federation
National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, 100174, Uzbekistan
Bahcesehir University
RUDN University
Institute of Mathematics and Mathematical Modeling
Faculty of Mechanics and Mathematics
National University of Uzbekistan named after Mirzo Ulugbek
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