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A Note on Divergence-Like 2-Point Boundary Value Problems
Proceedings of the American Mathematical Society
Vol. 42, No. 2 (Feb., 1974), pp. 547-550
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2039542
Page Count: 4
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The method given by Ford  for the existence and uniqueness of a solution in H1 0(I) for the boundary value problem [ h(x, x', t)]' = f(x, x', t), x(0) = x(1) = 0 is shown to be a special case of Browder's method  for partial differential equations of generalized divergence form. Also it is shown that the solution of the above boundary value problem in H1,p 0(I) can be obtained under weaker hypotheses than those assumed by Ford.
Proceedings of the American Mathematical Society © 1974 American Mathematical Society