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Khuddush, Mahammad, Rajendra Prasad, Kapula, Botta, Bharathi. (1400). Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity. نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 11(3 (SUMMER)), -. doi: 10.30495/ijm2c.2021.684816
Mahammad Khuddush; Kapula Rajendra Prasad; Bharathi Botta. "Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity". نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 11, 3 (SUMMER), 1400, -. doi: 10.30495/ijm2c.2021.684816
Khuddush, Mahammad, Rajendra Prasad, Kapula, Botta, Bharathi. (1400). 'Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity', نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 11(3 (SUMMER)), pp. -. doi: 10.30495/ijm2c.2021.684816
Khuddush, Mahammad, Rajendra Prasad, Kapula, Botta, Bharathi. Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity. نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 1400; 11(3 (SUMMER)): -. doi: 10.30495/ijm2c.2021.684816

Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity

International Journal of Mathematical Modelling & Computations
مقاله 1، دوره 11، 3 (SUMMER) - شماره پیاپی 43، آذر 2021    اصل مقاله (108.83 K)
نوع مقاله: Full Length Article
شناسه دیجیتال (DOI): 10.30495/ijm2c.2021.684816
نویسندگان
Mahammad Khuddush* 1؛ Kapula Rajendra Prasad2؛ Bharathi Botta3
1Department of Applied Mathematics Andhra University Visakhapatnam India-530003
2Department of Applied Mathematics‎, ‎College of Science and Technology‎, ‎Andhra University‎, ‎Visakhapatnam‎‎, ‎India
3Department of Applied Mathematics Andhra University Visakhapatnam India-530003
چکیده
In this paper, we consider a system of viscoelastic wave equations of Kirchhoff type with delay and logarithmic nonlinearity. We obtain the local existence of solution by using the Faed-Galerkin approximation and under suitable conditions, we prove the blow up of solutions in finite time.
کلیدواژه‌ها
Wave equation؛ Local existence؛ Blow up؛ Logarithmic nonlinearity؛ Delay
آمار
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