Sentence examples for boundary value conditions at from inspiring English sources

Nieto [13] studied the existence of solution for a second-order nonlinear ordinary differential equation with three-point boundary value conditions at resonance.

However, there are few results concerning a higher-order coupled system of fractional differential equations with Sturm-Liouville boundary value conditions at resonance.

This paper focuses on the existence of solutions for a higher-order coupled system of fractional differential equations with Sturm-Liouville boundary value conditions at resonance.

Secondly, we also observe that few scholars have ever considered the higher-order coupled system of fractional differential equations with Sturm-Liouville boundary value conditions at resonance before.

To the best of our knowledge, this is the first paper to study higher order fractional differential equations with p-Laplacian and infinite-point boundary value conditions at resonance.

with boundary value conditions (1.2).

with the boundary value conditions.

with the anti-periodic boundary value conditions.

with -point boundary value conditions: (15).

coupled with the corresponding boundary value conditions.

with the boundary value conditions (1.2).