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Theorem 3.1 claims the uniqueness of a generalized solution to problem (mathit {PK}_{2}).
Consequently, the function (U xi,eta)) is a generalized solution to problem (mathit {PK}_{2}).
In this section we prove the existence and uniqueness of a generalized solution to problem (mathit {PK}_{2}).
This study proposes a generalized solution to estimate seismic active earth pressure on a cantilever retaining wall with bilinear backface.
In this paper, first, we prove results for the uniqueness of a generalized solution to problem PK.
To avoid an infinite number of necessary conditions in the frame of classical solvability, we give a notion of a generalized solution to problem PK which can have some singularity at the point O.
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Our method also provides a promising and generalized solution to investigate the complex and nonlinear information for various applications in the fields of expert and intelligent systems.
An optimal transportation problem can be interpreted as providing a weak or generalized solution to the Monge-Ampère mapping problem [3].
In such a situation, it conducts the following generalized solution to develop a n-ratio automatic transmission.
In Appendix B some auxiliary results, needed for the study of the generalized solution to problem (mathit {PK}_{2}), are proven.
A generalized solution method is derived to determine optimum results and some design charts are presented.
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