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We give a set of sufficient conditions for the existence of differentiable solutions for a functional equation involving a series of iterates, using a method different from that of Baker and Zhang [Ann. Polon. Math. 73 (2000)].
V. Murugan, and P. V. Subrahmanyam. "Differentiable solutions for a class of functional equations." Annales Polonici Mathematici 92.3 (2007): 225-241. <http://eudml.org/doc/280178>.
@article{V2007, abstract = {We give a set of sufficient conditions for the existence of differentiable solutions for a functional equation involving a series of iterates, using a method different from that of Baker and Zhang [Ann. Polon. Math. 73 (2000)].}, author = {V. Murugan, P. V. Subrahmanyam}, journal = {Annales Polonici Mathematici}, keywords = {iterative functional equations; differentiable solutions; Banach space; Banach's contraction principle; Schauder's fixed point theorem}, language = {eng}, number = {3}, pages = {225-241}, title = {Differentiable solutions for a class of functional equations}, url = {http://eudml.org/doc/280178}, volume = {92}, year = {2007}, }
TY - JOUR AU - V. Murugan AU - P. V. Subrahmanyam TI - Differentiable solutions for a class of functional equations JO - Annales Polonici Mathematici PY - 2007 VL - 92 IS - 3 SP - 225 EP - 241 AB - We give a set of sufficient conditions for the existence of differentiable solutions for a functional equation involving a series of iterates, using a method different from that of Baker and Zhang [Ann. Polon. Math. 73 (2000)]. LA - eng KW - iterative functional equations; differentiable solutions; Banach space; Banach's contraction principle; Schauder's fixed point theorem UR - http://eudml.org/doc/280178 ER -