Bibliographic Details
| Title: |
A strong convergence theorem for solutions to a nonhomogeneous second order evolution equation |
| Authors: |
Djafari Rouhani, Behzad1 behzad@math.utep.edu, Khatibzadeh, Hadi2,3 hkhatibzadeh@znu.ac.ir |
| Source: |
Journal of Mathematical Analysis & Applications. Mar2010, Vol. 363 Issue 2, p648-654. 7p. |
| Subjects: |
Numerical solutions to evolution equations, Stochastic convergence, Integral theorems, Homogeneous spaces, Monotone operators, Asymptotic distribution, Hilbert space, Curves |
| Abstract: |
Abstract: In this paper, we establish the strong convergence of possible solutions to the following nonhomogeneous second order evolution system to an element of , with an exponential rate of convergence when , where A is a general maximal monotone operator in a real Hilbert space H, is a real constant and is a given function. We show also that the curve u is almost nonexpansive, and present some applications of our result. [Copyright &y& Elsevier] |
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| Database: |
Engineering Source |