@article{article_845368, title={NEW REPRODUCING KERNELS AND HOMOGENIZING TRANSFORMS FOR SOME BOUNDARY VALUE PROBLEMS}, journal={İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi}, volume={19}, pages={234–243}, year={2020}, author={Nuray Yıldırım, Elif}, keywords={Üretici çekirdek fonksiyonları, Sınır değer Problemleri, Üretici çekirdek metodu, Homojen olmayan adi diferansiyel denklemler}, abstract={Nonlinear boundary value problems have a significant role in the science. The solution approximations are also important as much as problems. In this study, new reproducing kernel spaces are constructed and reproducing kernel functions have been obtained for some boundary value problems. In the reproducing kernel theory, it is higly important to study wih homogeneous differential equation with the homogeneous conditions. For this purpose, homogenizing transformation functions have been found and nonlinear nonhomogeneous problems transformed to the homogeneous form.}, number={38}, publisher={İstanbul Ticaret Üniversitesi}