Hu, Shigeng A class of nonlinear boundary value problems in Banach spaces. (Chinese. English summary) Zbl 0832.34056 Hunan Ann. Math. 12, No. 1-2, 127-135, 115 (1992). Summary: We consider boundary value problems in Banach spaces of the form \(\ddot x= f(t, x, \dot x)\) \((0\leq t\leq 1)\), \(\alpha_i x(i)+ \beta_i\dot x(i)= \xi_i\) \((i= 0,1)\). By means of the concept of the so-called \(\gamma\)-Lipschitz modulus of a map, we obtain some existence theorems for such a boundary value problem. MSC: 34G20 Nonlinear differential equations in abstract spaces 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:boundary value problems; Banach spaces PDFBibTeX XMLCite \textit{S. Hu}, Hunan Ann. Math. 12, No. 1--2, 127--135, 115 (1992; Zbl 0832.34056)