Your English writing platform
Discover LudwigSimilar(59)
It is interesting to note that the results for problem (1.1) reduce to the ones for a third-order anti-periodic boundary value problem if we take (mu_{1}=mu _{2}=mu_{3}=0) and (lambda_{1}=lambda_{2}=lambda_{3}=-1 1}=lambda_{2}=lambda_{3}=-1
Moreover, among the papers where impulsive differential equations are investigated by using variational methods, most are for a second-order differential equation, whereas the ones for a fourth-order are mostly about Dirichlet boundary conditions and Neumann boundary conditions.
One for a third of the price would be very nice indeed.
You could be forgiven if they got you on this one for a second.
The menu is simple, with one page for appetizers, one for salads, a third for main courses, and a mini-page for desserts.
"A one-on-one dinner for a first date is just too pressured and stressful".
There was little change at the top: Cambridge held on to its place at number one for a fifth year running.
There was little change at the top of the table: Cambridge held on to its place at number one for a fifth year running, while Oxford and St Andrews remained in second and third place respectively.
Voice recorders must retain the most recent 30 minutes of sound on four channels -- three channels for crew microphones and one for a fourth microphone that picks up ambient noise.
His van is paid for, as is another one, for a second location, when he can afford to staff it.
No one, for a second, is pushing thoughts of serious criminality aside here, or in many other reaches of the media scene.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com