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The accuracy and simplicity of the proposed method is demonstrated through some examples concerning linear and nonlinear structures.
In this section we introduce notation, several definitions, and some key results concerning linear and nonlinear discrete-time nonnegative dynamical systems [19] that are necessary for developing the main results of this paper.
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Assumptions concerning linear elastic fracture mechanics and small scale yielding are considered.
In 1981, Henry [12] proposed a method to find solutions and proved some results concerning linear integral inequalities with a weakly singular kernel.
Concerning linear regression analysis, we back-transformed the regression-coefficient (B) and the 95% confidence interval (95% CI) from the log-scale to the original scale (EXP [B], EXP [95% CI]).
General results concerning linear BVPs for an abstract functional differential equation (AFDE) are given in [[4]].
The recent progress concerning linear algorithms to fit the PAC model (Delaneau et al. 2012) is extremely encouraging.
It extends Appleby et al. [19, Theorem ] to nonconvolution integral equations (cf. [19, Theorem ]); it is also the counterpart of Appleby et al. [25, Theorems and ], and Győri and Horváth [26, Theorem ] which concerns linear nonconvolution difference equations.
In Section 2, we prove sharp nonexistence results for inequalities in cone-like domains in,, having a vertex at 0. A special case concerns linear problems in half-balls.
However, most of the results in the literature are concerned with linear and semilinear parabolic equations with delay(s).
The main result in this section is an integral inequality concerning positive linear maps and tensor products of a continuous field of operators.
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