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The aim of this work is to study the solvability of some specific types of non-linear operator equations and some properties of mapping of operator equations, also present as following: (1) The solvability of general solutions for bounded non-linear operator equations AXB=C, AX B=C and A XB +BX A=C via pseudo inverse of operators A and B have been Studied and Discussed. (2) The general self-adjoint solutions of operator equations AXB=C, AXA =C and A XB +BX A=C via pseudo inverse of operators A and B have been given. (3) The common solution to the operator equations AX=C and XB=D. Also to the operator equation AX=C with the system of operator equations XBi=Di where i=1....n has been Introduce. At last the common solution to the system of operator equations AXB=C, BXA=D, AXA=E and BXB=F has been given. (4) The common Hermitian solution to the operator equations AX=C and XB=D. Also the system of operator equations AXA =C, A XA=D, AXA=0 and A XA =0 have been given.
Info autore
Dr. Salim Dawood Mohsen Asst. Prof. at AL-Mustansryah University, College of Education, Department of Mathematical Science, Baghdad, Iraq and Asst. Teacher Ahmed Mohammed Khalaf at Ministry of Education, Baghdad, Iraq.
Riassunto
Rule #9: I will heed the warnings of my inner voice
Dr. Lenita Mae Faulkner has come a long way from her dirt-poor beginningsin Madoosa County. All she's missing is a family. And with her nine-year live-in lover Ralph seemingly about to pop the question, it looks like she's about to get her wish -- a good thing, too, since Lenny's biological clock is ticking rapidly toward thirty-five.
Rule #7: I will never again go fetch the beer
But instead of proposing, Ralph skips out, empties their joint bank account,and runs off with another woman. And on top of that, a true family catastrophe is calling her back to tiny Madoosa -- the last place Lenny wants to be.Home again at the lowest point of her once-charmed life, Lenny is blastedby a forgotten piece of her past: a diary she kept in the fifth grade containing a list of rules she had created to live by. And in their simple, fervent honesty is the impetus for her to get out and start living again.
Rule #3: I will follow my dreams
Look out world, because Lenita Mae is coming on strong once more -- andthis time, it will be according to her own rules! It won't always be pretty, and it won't be perfect . . . but it may just help her discover what real love is all about!
