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Recently, some existence results for fractional boundary value problem have appeared in the literature (see, e.g., [15 17]).
Of course, the stability estimates for the solution of the nonlocal boundary value problem have been established.
The details of existence and uniqueness of the above initial boundary value problem have already been discussed in [1].
Multiplicity results for a mixed boundary value problem have been studied by several authors (see, for instance, [5 8] and references therein).
A uniform finite difference method, which is first-order convergent, on an S-mesh (Shishkin type mesh) for a singularly perturbed semilinear one-dimensional convection-diffusion three-point boundary value problem have also been studied in [16].
Following this theorem, several coupled coincidence/fixed point theorems and their applications to integral equations, matrix equations and a periodic boundary value problem have been reported (see, e.g., [6 19] and references therein).
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This boundary value problem has applications to biomechanical sensory devices such as mammal whiskers.
A well posed boundary value problem has thus been formulated for laminates containing however many cracked and uncracked laminae.
The one-dimensional initial boundary value problem has a fixed boundary at one end and a free boundary at the other.
Assume and, then boundary value problem has no positive solution.
Then boundary value problem has at least positive solutions satisfying.
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