?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Facta.bibl.u-szeged.hu%2F75826%2F&rft.title=Positive+solutions+to+three+classes+of+non-local+fourth-order+problems%0D%0Awith+derivative-dependent+nonlinearities&rft.creator=+Zhang+Guowei&rft.subject=01.+Term%C3%A9szettudom%C3%A1nyok&rft.subject=01.01.+Matematika&rft.description=In+the+article%2C+we+investigate+three+classes+of+fourth-order+boundary+value+problems+with+dependence+on+all+derivatives+in+nonlinearities+under+the+boundary+conditions+involving+Stieltjes+integrals.+A+Gronwall-type+inequality+is+employed+to+get+an+a+priori+bound+on+the+third-order+derivative+term%2C+and+the+theory+of+fixed-point+index+is+used+on+suitable+open+sets+to+obtain+the+existence+of+positive+solutions.+The+nonlinearities+have+quadratic+growth+in+the+third-order+derivative+term.+Previous+results+in+the+literature+are+not+applicable+in+our+case%2C+as+shown+by+our+examples.&rft.date=2022&rft.type=Foly%C3%B3irat&rft.type=NonPeerReviewed&rft.format=full&rft.language=hu&rft.identifier=http%3A%2F%2Facta.bibl.u-szeged.hu%2F75826%2F1%2Fejqtde_2022_011.pdf&rft.identifier=+++Zhang+Guowei%3A+++Positive+solutions+to+three+classes+of+non-local+fourth-order+problems+with+derivative-dependent+nonlinearities.++(2022)+++&rft.language=eng