Sentence examples for problem of the partial from inspiring English sources
The method of multiple scales is developed to analyze the effects of internal resonances on the steady-state responses to external excitations in the nonlinear boundary problem of the partial differential equations.
4.2, where the problem of the partial information on the subset of the pair of sequences (Gamma _{2}:={lambda_{n},kappa_{n};ninmathbb{N}_{0}}) is concerned.
For model (1), the initial boundary value problem of the partial differential equation for the model is derived and discreted numerically.
In this paper, we use the elementary method and construct some new inequalities to study the computational problem of the partial reciprocal sums related to the Mathieu series and obtain an interesting inequality and a related identity.
In this paper, we examine the following biharmonic problem of the partial differential inclusion: left { textstylebegin{array}{l} Delta^{2}{u}in H x,u,nabla u,Delta u) quad mbox{a.e. in } Omega, u=0 quad mbox{on } partialOmega, frac{partial u}{partialmathbf{n}}=0 quad mbox{on } partialOmega.
For every (ngeq1), consider the following biharmonic problem of the partial differential inclusion: left { textstylebegin{array}{l} Delta^{2}{u}in H_{n} x,u,nabla u) quad mbox{a.e. in } Omega, u=0 quad mbox{on } partialOmega, frac{partial u}{partialmathbf{n}}=0 quad mbox{on } partialOmega.
In the past decades, studies on the problems of the partial differential equation mainly focused on direct problems and inverse problems of integer order differential equation, and some numerical techniques have been proposed to solve integer order differential equation [1 8].
Each of his books returns, in its own distinct fashion, to this problem of the terrors that partial knowledge imposes on us.
The behavior of the solutions very much depends essentially on the classification of PDEs; therefore, the problem of classifying partial differential equations is very natural and well known since the classification governs the sufficient number and the type of the conditions in order to determine whether the problem is well posed and has a unique solution.
Reliability of results is guaranteed by comparing the results obtained using two qualitatively different methods to reduce the problem of PDEs (partial differential equations) to ODEs (ordinary differential equations), i.e. the Faedo-Galerkin method in higher approximations and the 4th and 6th order FDM.
We also apply our results to study the boundedness and uniqueness of the solutions of the boundary value problem of a partial differential equation.
