Category Ranking
98%
Total Visits
921
Avg Visit Duration
2 minutes
Citations
20
Article Abstract
In this paper, we consider a kind of second-order delay differential system. By taking some transforms, the property of delay is reflected in the boundary condition. The wonder is that the corrseponding first-order system is exactly the so-called -boundary value problem of Hamiltonian system which has been studied deeply by many mathematicians, including the authors of this paper. Firstly, we define the relative Morse index for the delay system and give the relationship with the -index of Hamiltonian system. Secondly, by this index, topology degree and saddle point reduction, the existence of periodic solutions is established for this kind of delay differential system.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9667453 | PMC |
| http://dx.doi.org/10.1007/s10884-022-10226-2 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Recent advances in intelligent oxygen delivery systems for tissue regeneration.
Adv Drug Deliv Rev
September 2025
State Key Laboratory of Pharmaceutical Biotechnology, Medical School, Nanjing University, Nanjing 210093, China; Department of Pharmacy, The Air Force Hospital of Eastern Theater Command, Nanjing 210002, China; Jiangsu Provincial Key Laboratory of Nano Technology, Medical School, Nanjing University,
Oxygen plays a critical regulatory role in tissue repair and regeneration. However, in the microenvironment of tissues with vascular damage, hypoxia is commonly present. This not only suppresses cell proliferation and differentiation but also delays angiogenesis and extracellular matrix reconstruction, ultimately hindering the tissue regeneration process.
View Article and Find Full Text PDFDimethyl fumarate mitigates osteoarthritis progression through Nrf2 activation-mediated suppression of oxidative stress and subchondral osteoclastogenesis.
Int Immunopharmacol
September 2025
Department of Orthopaedics, The Second Affiliated Hospital and Yuying Childrens Hospital of Wenzhou Medical University, Wenzhou, Zhejiang Province, China; Key Laboratory of Orthopaedics of Zhejiang Province, Wenzhou, Zhejiang Province, China. Electronic address:
Osteoarthritis (OA) is a degenerative joint disease associated with imbalanced subchondral bone remodeling, and there is currently no curative treatment available. In OA, excessive osteoclast activity leads to bone loss and inflammatory responses. Dimethyl fumarate (DMF), an Nrf2 activator already used in treating psoriasis and multiple sclerosis, may alleviate OA by suppressing oxidative stress and osteoclastogenesis.
View Article and Find Full Text PDFCase report: Duplicate renal ureteral malformation with renal tumor, ureteral tumor, renal rupture, calculi and infection.
Int J Surg Case Rep
September 2025
Department of Urology, Shandong Provincial Third Hospital, Shandong University, Jinan, 250012, China; Shandong Stone Disease Prevention and Treatment Center, Jinan, 250012, China. Electronic address:
Introduction: The Multiple primary malignant tumors (MPMT) refers to the occurrence of two primary malignant tumors in the same organ or organs in the same patient at the same time. However, MPMT is rare in the urinary system. Congenital urinary tract anomalies (e.
View Article and Find Full Text PDFUnlabelled: Currently approved type 1 diabetes (T1D) immunotherapies broadly target T cells and delay but do not fully prevent diabetes development, highlighting the need for more selective targets. Anti-insulin germinal center B cells are uniquely able to present pathogenic insulin epitopes and drive anti-insulin T cells to adopt a T follicular helper fate. T cell expression of BCL6, a key transcriptional repressor in the germinal center response, is essential for spontaneous diabetes in non-obese diabetic (NOD) mice.
View Article and Find Full Text PDFUnmasking Tuberculosis: A Case of Pericardial Effusion in a Young Adult With Recurrent Pneumonia.
Cureus
August 2025
Family Medicine, Chino Valley Medical Center, Chino, USA.
This case presents a 25-year-old Indian male with no significant past medical history presenting to the emergency department (ED) due to two weeks of productive cough with pleuritic chest pain. The patient presented one week earlier to the ED; however, he left against medical advice and was given a 5-day course of Azithromycin 250 mg that minimally improved his symptoms. He returned to the ED shortly after completing the antibiotics and was admitted for further evaluation.
View Article and Find Full Text PDF