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We extend the method of quasilinearization to differential equations in abstract normal cones. Under some assumptions, corresponding
monotone iterations converge to the unique solution of our problem and this
convergence is superlinear or semi–superlinear
@article{Jankowski2000, abstract = {We extend the method of quasilinearization to differential equations in abstract normal cones. Under some assumptions, corresponding
monotone iterations converge to the unique solution of our problem and this
convergence is superlinear or semi–superlinear}, author = {Jankowski, Tadeusz}, journal = {Serdica Mathematical Journal}, keywords = {Quasilinearization; Monotone Iterations; Superlinear and Semi–Superlinear Convergence; quasilinearization; monotone iterations}, language = {eng}, number = {3}, pages = {229-244}, publisher = {Institute of Mathematics and Informatics}, title = {Differential Equations in Abstract Cones}, url = {http://eudml.org/doc/11491}, volume = {26}, year = {2000}, }
TY - JOUR AU - Jankowski, Tadeusz TI - Differential Equations in Abstract Cones JO - Serdica Mathematical Journal PY - 2000 PB - Institute of Mathematics and Informatics VL - 26 IS - 3 SP - 229 EP - 244 AB - We extend the method of quasilinearization to differential equations in abstract normal cones. Under some assumptions, corresponding
monotone iterations converge to the unique solution of our problem and this
convergence is superlinear or semi–superlinear LA - eng KW - Quasilinearization; Monotone Iterations; Superlinear and Semi–Superlinear Convergence; quasilinearization; monotone iterations UR - http://eudml.org/doc/11491 ER -