共查询到20条相似文献,搜索用时 31 毫秒
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Summary Local a.e. solutions to a free boundary (Stefan) problem for a quasilinear hyperbolic system of functional PDE's of first order in two independent variables and diagonal form are investigated. The formulation includes retarded arguments and hereditary Volterra terms. 相似文献
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In this paper, we study the problem on the existence of positive solutions for a class of impulsive periodic boundary value problems of first-order nonlinear functional differential equations. By using the fixed point theorem in cones and some analysis techniques, we present some sufficient conditions which guarantee the existence of one and multiple positive solutions for the impulsive periodic boundary value problems. Our results generalize and improve some previous results. Moreover, our results show that positive solutions for the impulsive periodic boundary value problems may be yielded completely by some proper impulsive conditions (see Example 4.1 and Remark 4.2 in Sect. 4), and also implies that proper impulsive conditions are of great significance to simulate processes, optimal control, population model and so on. 相似文献
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Jill E. Hemmati 《Proceedings of the American Mathematical Society》1997,125(5):1483-1485
We show that any entire solution of an essentially nonlinear first-order partial differential equation in two variables must be linear.
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In this work we study the existence and uniqueness of pseudo-almost periodic solutions for a first-order abstract functional differential equation with a linear part dominated by a Hille–Yosida type operator with a non-dense domain. 相似文献
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We prove the existence and multiplicity of positive T-periodic solution(s) for T-periodic equation x′(t)=h(t,x)−λb(t)f(x(t−τ(t))) by Krasnoselskii fixed point theorem, where f(x) may be singular at x=0. Our results improve some recent results in previous literature. 相似文献
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Khalil Ezzinbi 《Journal of Mathematical Analysis and Applications》2007,328(1):344-358
In this work, we study the existence of almost automorphic solutions for some partial functional differential equations. We prove that the existence of a bounded solution on R+ implies the existence of an almost automorphic solution. Our results extend the classical known theorem by Bohr and Neugebauer on the existence of almost periodic solutions for inhomegeneous linear almost periodic differential equations. We give some applications to hyperbolic equations and Lotka-Volterra type equations used to describe the evolution of a single diffusive animal species. 相似文献
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This paper deals with a new solution concept for partial differential equations in algebras of generalized functions. Introducing regularized derivatives for generalized functions, we show that the Cauchy problem is wellposed backward and forward in time for every system of linear partial differential equations of evolution type in this sense. We obtain existence and uniqueness of generalized solutions in situations where there is no distributional solution or where even smooth solutions are nonunique. In the case of symmetric hyperbolic systems, the generalized solution has the classical weak solution as macroscopic aspect. Two extensions to nonlinear systems are given: global solutions to quasilinear evolution equations with bounded nonlinearities and local solutions to quasilinear symmetric hyperbolic systems. 相似文献
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We investigate the existence of positive solutions to the singular fractional boundary value problem: $^c\hspace{-1.0pt}D^{\alpha }u +f(t,u,u^{\prime },^c\hspace{-2.0pt}D^{\mu }u)=0$, u′(0) = 0, u(1) = 0, where 1 < α < 2, 0 < μ < 1, f is a Lq‐Carathéodory function, $q > \frac{1}{\alpha -1}$, and f(t, x, y, z) may be singular at the value 0 of its space variables x, y, z. Here $^c \hspace{-1.0pt}D$ stands for the Caputo fractional derivative. The results are based on combining regularization and sequential techniques with a fixed point theorem on cones. 相似文献
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Eduardo Hernández M. Marco Rabello 《Journal of Mathematical Analysis and Applications》2007,331(2):1135-1158
This paper is concerned with partial neutral functional differential equations of first and second order with impulses. We establish some results of existence of mild solutions for these classes of equations. 相似文献
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Genni Fragnelli 《Archiv der Mathematik》2002,79(6):479-488
We study partial functional differential equations with infinite delay where the history function is modified by a backward
evolution family. Under appropriate assumptions and using semigroup techniques we prove the existence of a unique classical
solution.
Die endgültige Fassung ging am 20. 6. 2001 einein 相似文献
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In this paper, we study the existence and uniqueness of a weighted pseudo-almost automorphic solution for some nonhomogeneous partial functional differential equations. We use the variation of constants formula developed in Ezzinbi and N’Guérékata (2007) [11] and the spectral decomposition of the phase space to show the main result of this work. To illustrate our main result, we study the existence and uniqueness of a weighted pseudo-almost automorphic solution for some diffusion equations with delay. 相似文献
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This work contains positive solution of first-order neutral functional differential equations with distributed deviating arguments. Some sufficient conditions for the existence of positive solutions are obtained. We use the Banach contraction principle to prove our results. 相似文献
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On meromorphic solutions of first-order differential equations 总被引:1,自引:0,他引:1