Sentence examples for one solution if from inspiring English sources

So, again of [6], it follows that (1.1) admits one solution if and only if.

By using Theorem 3.5, the above problem has at least one solution if b < ( κ N − 2 ) 1 + λ.

When,, and,, by using the lower and upper solution method, Santos in [5] finds a real number, such that the problem (1.1) has at least one solution if.

What they obtained is the existence of at least one solution if there is a pair of upper and lower solutions.

end{aligned}By Theorem 3.1, BVP (4.1) has at least one solution if one of the following items holds: (i) (sigma <1).

BVP (4.48) has at least one solution if and only if, where denotes the rank of matrix and is the augmented matrix defined as follows: (4.51).

Then has at least one solution in, if the following conditions are satisfied: (a for each ; (b)for each, ; (c), where is an isomorphism.

Then the problem (1.1) has at least one solution on if (3.12).

Then the boundary value problem (1.1 - 1.2 1.1 - 1.2east one solution on J if (|m|sum_{i=1}^{4} Lambda_{i} <1).

(3.5) Then the anti-periodic boundary value problem (1.1) has at least one solution on J if b_{1}Omega_{1}< 1. (3.6).

Then problem (3.1) has at least one solution on ([0,1]) if (varepsilon delta:mathbb{R}_tomathbb{R}_) is a strict comparison function, where varepsilon= biggl(frac{(2+xi/zeta+2^{-q})}{Gamma(q+1)}+frac{eta }{zetaGamma q)} biggr) |kappa |_{infty}.