THE SOLUTION AND ITS CONSTRUCTION FOR A CLASS OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

Xue Zhi LI;Shi Tang LU

Journal of Systems Science and Mathematical Sciences ›› 1997, Vol. 17 ›› Issue (1) : 54-065.

PDF(492 KB)
PDF(492 KB)
Journal of Systems Science and Mathematical Sciences ›› 1997, Vol. 17 ›› Issue (1) : 54-065. DOI: 10.12341/jssms09976
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THE SOLUTION AND ITS CONSTRUCTION FOR A CLASS OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

  • Xue Zhi LI; Shi Tang LU
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Abstract

This paper discusses a class of nonlinear integro-differential equations arising in nuclear reactor dynamics. Under certain conditions the existence and uniqueness of Mild solution, strong solution and local solution are proved. It also shows that the solution can be obtained by the iterative method. Moreover, the convergence speed of this method is estimated.

Key words

Nonlinear integro-differential equation / Mild solution / strong solution / local solution / iterative m

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Xue Zhi LI , Shi Tang LU. THE SOLUTION AND ITS CONSTRUCTION FOR A CLASS OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS. Journal of Systems Science and Mathematical Sciences, 1997, 17(1): 54-065 https://doi.org/10.12341/jssms09976
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