Sentence examples for contributions existence from inspiring English sources

In the contributions, existence, nonexistence, multiplicity, asymptotic behavior, and approx-imation of solutions are considered by using several methods as fixed point theorems, fixed point index, variational methods, iterative techniques, bifurcation theory, and lower and upper solutions.

No contributions exist, as far as we know, concerning the existence of positive solutions of singular complementary Lidstone problems.

To the best of our knowledge, no contribution exists concerning the existence of solutions for BVP (1.1 - 1.2 1.1 - 1.2

To the best of our knowledge, no contribution exists concerning the existence of solutions for a boundary value problem with integral boundary conditions by applying monotone iterative techniques.

To the best of our knowledge, no contribution exists concerning the existence of symmetric positive solutions for multi-point boundary-value problems with integral boundary conditions by applying monotone iterative techniques.

The American Mathematical Society AMSS) has recently named Michael I. Weinstein a fellow, citing his "contributions to existence and stability of solitary waves and nonlinear dispersive wave propagation". The AMS fellows program, now in its second year, comprises 50 new fellows from around the world.

Since there have been a number of contributions to existence issues, focusing on stability we always assume that (S_{f_{1}}(lambda)) and (S_{f}(lambda)) are nonempty for all λ in a neighborhood of the considered point λ̄.

Some contributions on the existence of periodic solutions for differential equations have been made.

This paper is motivated by some recent contributions on the existence of solution of impulsive fractional differential equations and the theory of fractional hybrid differential equations by Agarwal, Ahmad, Baleanu, Benchohra, Fečkan, Nieto, Sun, Bai, Zhou, Zhang and Wang.

However, these previous contributions assume the existence of competition among symmetric private platforms, whereas we consider the role of a publicly owned platform in the presence of asymmetric quality levels.3.3

Recent contributions on the existence of solutions with some of the previously enumerated properties or another type of almost periodicity to neutral functional differential equations have been made in [10, 11], for the case of neutral ordinary differential equations, and in [12 15] for partial functional differential systems.