Sentence examples for subsequently existence from inspiring English sources

Moreover, because of their micro dimensions and subsequently, existence of only a few grains along their thickness, J2 flow theory is not appropriate to be implemented in order to define the mechanical behavior of such devices.

Subsequently, an existence result of three positive solutions is obtained combining two algebraic conditions which guarantee the existence of two local minima for the Euler-Lagrange functional and applying the mountain pass theorem as given by Pucci and Serrin (see [2]) to ensure the existence of the third critical point.

Subsequently, an existence result of three nonnegative solutions is obtained combining two algebraic conditions which guarantee the existence of two local minima for the Euler-Lagrange functional and applying the mountain pass theorem as given by Pucci and Serrin (see [11]) to ensure the existence of the third critical point (see Theorem 4.5).

Subsequently, an existence theorem for the solution of initial value problem has also been established.

Subsequently, the existence and uniqueness of common fixed point theorem for two mappings are established under some suitable conditions.

Subsequently, the existence of sulfate-dependent anaerobic ammonium oxidation has been confirmed by other researchers [ 14, 35– 35].

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(BP subsequently acknowledged the existence of dispersed oil and pledged $500 million for research on the environment of the gulf).

Peter Higgs, a Brit, and the Belgian François Englert, who first proposed the particle's existence, subsequently shared the 2013 Nobel prize for physics.

We subsequently show the existence and uniqueness of a nonnegative solution.

This allows us to develop a novel truncation technique to remove the singularity in the HJB equation, and subsequently prove the existence and uniqueness of a global solution to the HJB equation.