Zobrazeno 1 - 10
of 80
pro vyhledávání: '"J. R. L. Webb"'
Autor:
Gennaro Infante, J. R. L. Webb
Publikováno v:
Abstract and Applied Analysis, Vol 2003, Iss 18, Pp 1047-1060 (2003)
We establish the existence of positive solutions of some m-point boundary value problems under weaker assumptions than previously employed. In particular, we do not require all the parameters occurring in the boundary conditions to be positive. Our r
Externí odkaz:
https://doaj.org/article/18518286840f43658111c2d7a331a83b
Autor:
K. Q. Lan, J. R. L. Webb
Publikováno v:
Abstract and Applied Analysis, Vol 4, Iss 2, Pp 83-100 (1999)
We obtain new A-properness results for demicontinuous, dissipative type mappings defined only on closed convex subsets of a Banach space X with uniformly convex dual and which satisfy a property called weakly inward. The method relies on a new proper
Externí odkaz:
https://doaj.org/article/0d1b8b2f83c24e128314146a8f6b4acd
Autor:
Kunquan Lan, J. R. L. Webb
Publikováno v:
Fractional Calculus and Applied Analysis. 26:962-988
We prove existence of solutions, and particularly positive solutions, of initial value problems (IVPs) for nonlinear fractional differential equations involving the Caputo differential operator of order $$\alpha \in (0,1)$$ α ∈ ( 0 , 1 ) . One nov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1cfc475ba90abff4068aa7253339ed64
https://doi.org/10.1007/s13540-023-00152-5
https://doi.org/10.1007/s13540-023-00152-5
Autor:
J. R. L. Webb
Publikováno v:
Journal of Mathematical Analysis and Applications. 471:692-711
We obtain some new Gronwall type inequalities which are applicable to some weakly singular Volterra integral equations similar to the ones first studied by D. Henry. The main interest is that we consider cases with a double singularity and we obtain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::054f7e365afe7fc4726e9051c3675569
https://doi.org/10.1016/j.jmaa.2018.11.004
https://doi.org/10.1016/j.jmaa.2018.11.004
Autor:
J. R. L. Webb
Publikováno v:
Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 379(2191)
We prove the existence of multiple positive solutions of nonlinear second-order nonlocal boundary value problems with nonlinear term having derivative dependence. We allow the nonlinearity to grow quadratically with respect to derivatives. We obtain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a3eb55c1c6a92294c1433c6d4dd469b
https://pubmed.ncbi.nlm.nih.gov/33390072
https://pubmed.ncbi.nlm.nih.gov/33390072
Autor:
J. R. L. Webb
Publikováno v:
Bulletin of the London Mathematical Society. 49:534-547
Motivated by boundary value problems we give new results for a class of nonlinear Hammerstein integral operators acting in a cone to have a fixed point index equal to one. The idea is to allow the nonlinearity to be large on one part of its domains p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1be3a9e4d620ee0a580ad1db996f405c
https://doi.org/10.1112/blms.12055
https://doi.org/10.1112/blms.12055
Autor:
M. Zima, J. R. L. Webb
Publikováno v:
Glasgow Mathematical Journal. 54:225-240
We study the existence of positive solutions for equations of the form where 0 < ω < π, subject to various non-local boundary conditions defined in terms of the Riemann–Stieltjes integrals. We prove the existence and multiplicity of positive solu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8413bacbade5d83057f9c39770c97157
https://doi.org/10.1017/s0017089511000590
https://doi.org/10.1017/s0017089511000590
Autor:
J. R. L. Webb
Publikováno v:
Journal of the London Mathematical Society. 82:420-436
We introduce a modification of the concept of a cone invariant linear operator being u0-positive, a concept due to Krasnosel�fski... We show how this definition allows us to prove results closely related to some results for positive operators in a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::692d7e1b338a737494561d6ae7e26d4d
https://doi.org/10.1112/jlms/jdq037
https://doi.org/10.1112/jlms/jdq037
Autor:
J. R. L. Webb
Publikováno v:
Applied Mathematics and Computation. 216:497-500
We show that it is important to allow the nonlinear term to change sign when discussing existence of a positive solution for multipoint, or more general nonlocal, boundary value problems in the resonant case. When the nonlinear term has a fixed sign
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::feeb67280125e92b021ead8ad5e47396
https://doi.org/10.1016/j.amc.2010.01.056
https://doi.org/10.1016/j.amc.2010.01.056
Autor:
J. R. L. Webb, Gennaro Infante
Publikováno v:
Communications on Pure & Applied Analysis. 9:563-581
We give a unified approach to the study of existence of multiple positive solutions for semi-positone boundary value problems of arbitrary order. We cover local and nonlocal boundary conditions. Our nonlocal boundary conditions are quite general, the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::14f9e780d9eda14b66c83bcbd8890337
https://doi.org/10.3934/cpaa.2010.9.563
https://doi.org/10.3934/cpaa.2010.9.563