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Szufla Measure of noncompanctness and ordinary differential equations in Banach spaces Bull. Acad. Poland Sci. Math. 19 (1971) 831 835.1303-50102651-477Xhttps://gcris.yasar.edu.tr/handle/123456789/11134In this article we prove an existence theorem regarding the weak solu- tions to the hyperbolic-type partial dynamic equation z&amp,#915,&amp,#8710,(x y) = f(x y z(x y)) z(x 0) = 0 z(0 y) = 0 x &amp,#8712,T1 y &amp,#8712,T2 in Banach spaces. For this purpose by generalizing the de&amp,#64257,nitions and results of Cicho&amp,#324, et.al. we develop weak partial derivatives double integrability and the mean value results for double integrals on time scales. DeBlasi measure of weak noncompactness and Kubiaczyk s &amp,#64257,xed point theorem for the weakly sequentially continuous mappings are the essential tools to prove the main result. 2000 AMS Classi&amp,#64257,cation: 34G20 34N05 35L10 35R20 47N20 46B50.İngilizceBilgisayar Bilimleri- Teori ve MetotlarArticle