Sentence examples for functions and solutions from inspiring English sources
New functions and solutions must be found for them.
Moreover, we discuss some boundary value problems for H λ -regular functions and solutions of equation D u = f.
Gradient estimates for Cheeger-harmonic functions and solutions to a class of non-linear Poisson type equations are presented.
It is becoming evident that different dynamic derivatives play increasingly important roles in approximating functions and solutions of nonlinear differential equations for their great flexibility in grid designs.
The results of this paper can be used for the investigation of quasilinear problems, conditions for positiveness of Green's functions, and solutions with various BCs, for example, NBCs.
In this article, we introduce and investigate some Riemann-Hilbert type boundary value problems for H λ -regular vector functions and solutions of the equation D u = f, obtain general solutions and solvable conditions respectively in different cases.
In particular, we study the convergence properties of the newly introduced FC(Gram) Fourier Continuation method for both approximation of general functions and solution of the alternating-direction ODEs.
In this section, we first recall the uniqueness theorem of Marchenko and formulate some asymptotic expansions of m-functions and solutions of Eq. (2.1), which will be used later to prove our principal results.
Furthermore, the differences between WRMS of UT1-UTC residuals with either mapping function and solutions with and without log-files are within 0.01 μs.
We compute the reproducing kernels and relate their variations with respect to x to a Krein differential system, whose coefficient (which we call the μ-function) and solutions have determinantal expressions.
Furthermore, one-dimensional governing equations were obtained under the assumptions of constant diffusion coefficient and collision frequency function, and solutions for particle diameter were obtained in qualitative agreement with the earlier CFD simulations.
