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Now we know that there exists the solution of (1.1) satisfying (2.1) such that (2.37).

Lemma 3. If a stationary point determined by (10) exists, the solution of ODE (16) converges to the stationary point for sufficiently large.

end{aligned} In the opposite case, (g_{i}(0,varphi=1,20), (i=1,2), i.e., the functions (g_{i}), (i=1,2), do not satisfy all conditions of Theorem 1 under which there exists the solution of Problem D1 (64), (64) continuous at the line of degeneracy (r=0).

Hence, in general, it is not reasonable to expect that there exist the solutions of (1-3) to be attracted by this particular solution.

For low-luminosity systems (L ⩽ 0.2LEdd), there exists only the solution of hard spectra; while for high-luminosity systems (L ⩾ 0.8LEdd), there exist both solutions of hard and soft spectra.

In this case the derivative exists and the solution of a fuzzy differential equation may have decreasing length of the support, but the uniqueness is lost.

In this case, the derivative exists and the solution of an interval-valued differential equation may have decreasing length of the support, but the uniqueness is lost.

Among all least squares solutions (20), there always exists the one solution of minimum norm.

Hence there exists the greatest solution of (5.18) between and.

By Theorem 4.5, we know that there exists the greatest solution of (5.8) in.

there exists the general solution of system (1) in the form x ( t, c ) = X n − s ( t ) c + x ˜ ( t ) (6). on the interval [ a, b ].