Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type

Xing, Yufeng; Fu, Yi

doi:10.1186/1687-1847-2011-14

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Cited by 4 publications

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“…Thanks to these applications, more theoretical studies of the subject can be developed, including: solvability, uniqueness, positivity and multiplicity of solutions. For the recent developments involving existence of solutions to BVPs for first order differential equations, we can refer to [3,6,7,8,9,10,12].…”

Section: Introductionmentioning

confidence: 99%

Existence of solutions for a class of first order boundary value problems

a¹,

b²,

c³

2022

Arch. Math. (Brno)

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In this work, we are interested in the existence of solutions for a class of first order boundary value problems (BVPs for short). We give new sufficient conditions under which the considered problems have at least one solution, one nonnegative solution and two non trivial nonnegative solutions, respectively. To prove our main results we propose a new approach based upon recent theoretical results. The results complement some recent ones.

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