On the system of double equations with three unknowns d + ay + bx + cx2 = z2, y + z = x2


Gopalan M., Thangam A., ÖZER Ö.

International Journal of Nonlinear Analysis and Applications, cilt.12, sa.1, ss.575-581, 2021 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.22075/ijnaa.2021.4840
  • Dergi Adı: International Journal of Nonlinear Analysis and Applications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.575-581
  • Anahtar Kelimeler: Integer solutions, Pair of equations with three unknowns, Pell Equations, Special Numbers, System of double equations
  • Kırklareli Üniversitesi Adresli: Evet

Özet

The system of double equations with three unknowns given by d + ay + bx + cx2 = z2, y + z = x2 is analysed for its infinitely many non-zero distinct integer solutions. Different sets of integer solutions have been presented. A few interesting relations among the solutions are given.