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So we think there is a real need to concern existence results for fractional evolution equation on an unbounded interval.
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Among the ontological problems problems concerning existence and existential assumptions arising in logic are those of individuation and existence.
That is, contra Kant and others, Hartshorne believes that there are necessary truths concerning existence.
In Section 3 we give some results concerning existence, comparison, monotonicity and uniqueness.
The article is mostly expository, but we do prove some new results concerning existence of model structures.
In this paper we establish new results concerning existence and behavior at infinity of solutions for the nonlinear quasilinear problem.
The "traditional view," as initially expressed above, makes the matter solidly metaphysical: It concerns existence and the ontological status of that existence.
Problems of this type arise in material science and physics, which have been extensively studied and several results concerning existence, regularity and asymptotic behavior have been established.
Most of known results concerning existence of iterative roots for a continuous function were given under the assumption that the function has finitely many non-monotonic points.
Our purpose in the present paper is to obtain results concerning existence, uniqueness, and stability of the solutions of the non-autonomous stochastic differential equations (1.1).
Our first result concerns existence and uniqueness of solutions of problem (1.2) and is based on Banach's fixed point theorem.
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