Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition | Zendy

QingQing Hu | Zendy; Baoqiang Yan | Zendy

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Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition

Author(s) -

QingQing Hu,

Baoqiang Yan

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6632236

Subject(s) - riemann–stieltjes integral , mathematics , hilbert space , order (exchange) , boundary value problem , mathematical analysis , fixed point theorem , space (punctuation) , boundary (topology) , integral equation , point (geometry) , computer science , geometry , finance , economics , operating system

In this paper, we consider the existence of multiple solutions for second-order equation with Stieltjes integral boundary condition using the three-critical-point theorem and variational method. Firstly, a novel space is established and proved to be Hilbert one. Secondly, based on the above work, we obtain the existence of multiple solutions for our problem. Finally, in order to illustrate the effectiveness of our problem better, the example is listed.

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