Zobrazeno 1 - 10
of 211
pro vyhledávání: '"R. L. Webb"'
Autor:
Jeffrey R. L. Webb
Publikováno v:
Electronic Journal of Differential Equations, Vol 2024, Iss 40,, Pp 1-16 (2024)
Externí odkaz:
https://doaj.org/article/ad6056c68f494f8a8316e17570cca742
Autor:
Jeffrey R. L. Webb
Publikováno v:
Electronic Journal of Differential Equations, Vol 2021, Iss 80,, Pp 1-22 (2021)
Externí odkaz:
https://doaj.org/article/511801d3eed94b249e543befd3fb6970
Autor:
Jeffrey R. L. Webb
Publikováno v:
Electronic Journal of Differential Equations, Vol 2019, Iss 117,, Pp 1-32 (2019)
We consider initial value problems for Caputo fractional equations of the form $D_{C}^{\alpha}u=f$ where f can have a singularity. We consider all orders and prove equivalences with Volterra integral equations in classical spaces such as $C^{m}[0,
Externí odkaz:
https://doaj.org/article/d7eb3cab46334064ad773143cc3e2267
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
Autor:
Jeff R. L. Webb
Publikováno v:
Electronic Journal of Differential Equations, Vol 2011, Iss 55,, Pp 1-10 (2011)
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters $mu^*, lambda^*$ s
Externí odkaz:
https://doaj.org/article/4c707b2d397e491bbd76f37704ce1c64
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:
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
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
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:
Jeffrey R. L. Webb
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2018, Iss 61, Pp 1-12 (2018)
We obtain some new Gronwall type inequalities where, instead of linear growth assumptions, we allow quadratic (or more) growth provided some additional conditions are satisfied. Applications are made to both local and nonlocal boundary value problems