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Abstract
In the present paper a generalization of a theorem of I.B. Risteski (2004) concerning the solution of a nonlinear functional equation is given. The proof is based on a parametric approach by introducing a parameter in an arbitrary set , and on a matrix method for solving linear functional equations.
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References
- ACZEL, J. 1966. Lectures on functional equations and their applications. Academic Press, New York, London.
- FEYZIOĞLU, A.K. 1990. A course on algebra. Boğaziçi University Publication, Istanbul.
- RISTESKI, I.B. 2002. Matrix Method for Solving Linear Complex Vector Functional Equations. International Journal of Mathematics and Mathematical Sciences, 29: 217-238.
- RISTESKI, I.B. 2004. Solution of Some Nonlinear Complex Vector Functional Equations. African Diaspora Journal of Mathematics, 1: 49-57.
- RISTESKI, I.B. and COVACHEV, V.C. 2000. On Some General Classes of Partial Linear Complex Vector Functional Equations. Sci. Univ. Tokyo J. Math., 36: 105-146.
- RISTESKI, I.B. and COVACHEV, V.C. 2001. Complex vector functional equations. World Scientific, New Jersey-London-Singapore-Hong Kong.
- RISTESKI, I.B., TRENČEVSKI, K.G. and COVACHEV, V.C. 1999. A Simple Functional Operator. New York J. Math., 5: 139-142.
- RISTESKI, I.B., TRENČEVSKI, K.G. and COVACHEV, V.C. 2000a. Cyclic Complex Vector Functional Equations. Appl. Sci., 2: 13-18.
- RISTESKI, I.B., TRENČEVSKI, K.G. and COVACHEV, V.C. 2000b. On a linear vector functional equation. In Some Problems of Applied Mathematics. Eds A. Ashyralyev and H.A. Yurtsever. Fatih University Publications, Istanbul.
References
ACZEL, J. 1966. Lectures on functional equations and their applications. Academic Press, New York, London.
FEYZIOĞLU, A.K. 1990. A course on algebra. Boğaziçi University Publication, Istanbul.
RISTESKI, I.B. 2002. Matrix Method for Solving Linear Complex Vector Functional Equations. International Journal of Mathematics and Mathematical Sciences, 29: 217-238.
RISTESKI, I.B. 2004. Solution of Some Nonlinear Complex Vector Functional Equations. African Diaspora Journal of Mathematics, 1: 49-57.
RISTESKI, I.B. and COVACHEV, V.C. 2000. On Some General Classes of Partial Linear Complex Vector Functional Equations. Sci. Univ. Tokyo J. Math., 36: 105-146.
RISTESKI, I.B. and COVACHEV, V.C. 2001. Complex vector functional equations. World Scientific, New Jersey-London-Singapore-Hong Kong.
RISTESKI, I.B., TRENČEVSKI, K.G. and COVACHEV, V.C. 1999. A Simple Functional Operator. New York J. Math., 5: 139-142.
RISTESKI, I.B., TRENČEVSKI, K.G. and COVACHEV, V.C. 2000a. Cyclic Complex Vector Functional Equations. Appl. Sci., 2: 13-18.
RISTESKI, I.B., TRENČEVSKI, K.G. and COVACHEV, V.C. 2000b. On a linear vector functional equation. In Some Problems of Applied Mathematics. Eds A. Ashyralyev and H.A. Yurtsever. Fatih University Publications, Istanbul.