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- W2149556243 abstract "In this paper, we study the existence of positive solutions for singular impulsive differential equations with integral boundary conditions <TEX>$${u^{{prime}{prime}}(t)+q(t)f(t,u(t),u^{prime}(t))=0,;t{in}mathbb{J}^{prime},{Delta}u(t_k)=I_k(u(t_k),u^{prime}(t_k)),;k=1,2,{cdots},p,{Delta}u^{prime}(t_k)=-L_k(u(t_k),u^{prime}(t_k)),;k=1,2,{cdots},p,u=(0)={int}_{0}^{1}g(t)u(t)dt,;u^{prime}=0,$$</TEX>) where the nonlinearity f(t, u, v) may be singular at v = 0. The proof is based on the theory of Leray-Schauder degree, together with a truncation technique. Some recent results in the literature are generalized and improved." @default.
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- W2149556243 date "2014-08-31" @default.
- W2149556243 modified "2023-09-25" @default.
- W2149556243 title "EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS" @default.
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- W2149556243 doi "https://doi.org/10.7468/jksmeb.2014.21.3.147" @default.
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