Sentence examples for method for the existence from inspiring English sources
Also, a method for the existence of solutions for Eqs.
Wei [25], developed the upper and lower solutions method for the existence of positive solutions of the following coupled system of BVPs: (1.1).
The Banach contraction theorem formulated for a complete metric space is one of the most simple and, at the same time, the most important method for the existence and uniqueness of solution of nonlinear problems arising in mathematics and its applications to engineering and natural sciences [22 25].
Many different kinds of methods for the existence of traveling waves (exact form of solutions) haven been developed, such as Painleve expansion method [6, 7], bilinear method [8, 9], symmetry methods [10].
The method of this paper is a unified method for establishing the existence of positive solutions for a large number of nonlinear differential equations with coupled boundary conditions.
A constructional method for detecting the existence and determining the functional relationship of generalized synchronization is introduced in this paper.
In, Radu [19] proposed the fixed point alternative method for obtaining the existence of exact solutions and error estimations.
In 2003, Radu [53] proposed a new method for obtaining the existence of exact solutions and error estimations, based on the fixed point alternative (see also [54 57]).
In 2003, Radu [20] proposed a new method for obtaining the existence of exact solutions and error estimations, based on the fixed point alternative (see also [21, 22]).
In 2003, Radu [41] proposed a new method for obtaining the existence of exact solutions and error estimations, based on the fixed point alternative (see also [42, 43, 44]).
The method for determining the existence of 417 genomic regions larger than 500 bp that are absent from the genomes of EDL933 and Sakai but present in other E. coli O157 H7 whole genome shotgun sequences will be described in detail elsewhere (Laing et al. in preparation).
