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Reflection equation with piecewise constant arguments
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DOI：10.1016/j.cnsns.2025.109488.png)
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Abstract
En 中文
• This work cons,tutes, as far as we know, the first,me differen,al equa,ons with piecewise constant arguments and with reflec,on are analyzed together. • A method to obtain the exact value of the related Green’s func,on is developed. • It is characterized the parameter’s set of the constant sign of the Green’s func,on related to a first order equa,on with periodic boundary condi,ons. • The monotone method coupled to lower and upper solu,ons is developed for nonlinear problems. A numerical approxima,on of this method is also provided.
Keywords:
Green’s function
Equation with reflection
Piecewise constant arguments
constant sign solutions
nonlinear problem
monotone method
nonlocal problems
34B05
34B08
34B10
34B15
34B18
34B27
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