Boundary value problems for one-parameter second-order differential equations
Abstract
The paper establishes sufficient conditions for the existence of solutions of a one-parameter differential equation x" = f(t,x,x',λ) satisfying some of the following boundary conditions:
γ(x) = 0, x'(a) = x'(b) = 0,
x'(a) = x'(b) = 0, x(c)-x(d) = 0
and
x'(a) = x'(t0) = x'(b) = 0.
Here γ is a functional. The application is given for a class of one-parameter functional boundary value problems.
References
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Department of Mathematical Analysis, Faculty of Science, Palacký Univeristy, The Czech Republic Czechia
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