半序方法和幾類非線性積分方程解的存在性
發(fā)布時(shí)間:2019-03-27 17:17
【摘要】:本文主要包括如下四章內(nèi)容:在第一章中,我們介紹了本文的研究背景和主要結(jié)果.在第二章中,我們主要是研究下列帶有超線性擾動(dòng)項(xiàng)的時(shí)滯積分方程S-漸近周期解的存在性:其中n≥ 1和β≥0是兩個(gè)固定的常數(shù).在第三章中,我們首先建立了一個(gè)錐上的不動(dòng)點(diǎn)定理,然后再應(yīng)用它證明了下列積分方程正概周期解的存在性:其中n≥ 1和β ≥ 0是兩個(gè)固定的常數(shù).在第四章中,我們研究下列帶有超線性邊界條件的四階兩點(diǎn)邊界值問題單調(diào)正解的存在唯一性:其中f∈ C([0,1] × R × R)和g ∈ C(R)是兩個(gè)實(shí)值函數(shù).
[Abstract]:This paper mainly includes the following four chapters: in the first chapter, we introduce the research background and main results of this paper. In chapter 2, we mainly study the existence of S-asymptotic periodic solutions for delay integral equations with superlinear perturbation terms, where n 鈮,
本文編號(hào):2448383
[Abstract]:This paper mainly includes the following four chapters: in the first chapter, we introduce the research background and main results of this paper. In chapter 2, we mainly study the existence of S-asymptotic periodic solutions for delay integral equations with superlinear perturbation terms, where n 鈮,
本文編號(hào):2448383
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