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The first contemporary wave of work on the value problem largely concerned whether this problem raised a distinctive difficulty for reliabilist accounts of knowledge i.e., those views which essentially define knowledge in terms of true belief that arises out of reliable belief-forming processes (usually with a further codicil to deal with the problem posed by Gettier-style cases).
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Other related results on the boundary value problem of the fractional differential equations can be found in the papers [11 23].
This is an adequate definition since by general results on the initial value problem of causal differential equations [13] the existence and uniqueness of solution for (2.1) and (2.2) are guaranteed.
To prove our main results, we use the uniqueness results due to Reichel and Walter [15] on the initial value problem ( | u ′ ( t ) | p − 2 u ′ ( t ) ) ′ + λ f ( u ( t ) ) = 0, t ∈ ( 0, 1 ), u ( a ) = b, u ′ ( a ) = d, (2.1).
In this paper, we focus on the initial value problem, i.e., finding a uniquely determined geodesic path from a given point in any direction.
For sake of simplicity, concentrate on the initial value problem for vacuum solutions (Tab ≡ 0) to Einstein's field equations.
We used a form of sensitivity analysis based on the "missing value problem".
From now on, we consider the initial value problem for the semilinear parabolic equation (SCE).
Naturally, some authors have focused their attention on the boundary value problems of impulsive dynamic equations on time scales [22 36].
Even though this new approach is mainly intended for the BVPs, it can be successfully implemented on the initial value problems (IVPs).
There is a vast amount of research papers on the boundary value problems (BVPs) for ordinary differential operators.
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