# Order-type existence theorem for second order nonlocal problems at resonance

Document Type: Research Paper

Authors

School of Mathematics and Physics‎, ‎Changzhou University‎, ‎Changzhou 213164‎, ‎China.

Abstract

‎This paper gives an abstract order-type existence theorem for second order nonlocal boundary value problems at resonance and obtain existence criteria for at least two positive solutions‎, ‎where $f$ is a continuous function‎. ‎Our results generalize or extend related results in the literature and give a positive answer to the question raised in the literature‎. ‎An example is given to illustrate the new results.

Keywords

Main Subjects

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### History

• Receive Date: 15 September 2015
• Revise Date: 12 April 2016
• Accept Date: 14 April 2016