Sentence examples for problems for evolution from inspiring English sources

Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations.

In [4], the authors combined the two directions and studied firstly a class of nonlocal impulsive Cauchy problems for evolution equations by investigating the existence for mild (in generalized sense) solutions to the problems.

If methodological naturalism is a problem, it is not in any special sense a problem for evolution, for it is essential to all of science.

In this paper, we study further the existence of solutions to the following nonlocal impulsive Cauchy problem for evolution equations: (1.1).

We deal with anti-periodic problems for nonlinear evolution equations with nonmonotone perturbations.

In the recent work [15], the authors have found a way around the "short time interval" problem to treat semilinear problems for certain evolution equations of second order.

In [22], Zhou studied a class of Cauchy problems for fractional evolution equations with Caputo derivative on finite interval left { textstylebegin{array}{l} (^{C}D_{0+}^{beta}x )(t)=Ax t)+(Fx)(t),quad t in[0,a], x 0)+g(x)=x_{0}.

With the introduction of a signaling component, there are two new complications that could cause problems for the evolution of indirect reciprocity.

This could be a potential problem for the evolution of complexity in prebiotic evolution in addition to the error-threshold.

For the nonlocal problems of evolution equations, in [10], Ntouyas and Tsamatos studied the case with compactness conditions.

In [14], Xue-Cheng studied periodic problems for a nonlinear evolution inclusion, defined on an evolution triple of spaces, driven by a monotone operator, and with a perturbation term which is multivalued.