Results 71 to 80 of about 1,093 (183)

On a nonlinear Volterra integral equation in a Banach space

Journal of Mathematical Analysis and Applications, 1978
AbstractThe equation u(t) + ∝0tk(t − s)g(s) ds ϵ f(t), t ⩾ 0, is studied in a real Banach space with uniformly convex dual. Conditions, sufficient for the existence of a unique solution, are given for the operatorvalued kernel k, the nonlinear m-accretive operators g(t) and the function f.
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Existence of Solutions of Nonlinear Neutral Integrodifferential Equations in Banach Spaces

Journal of Mathematical Analysis and Applications, 2000
The authors prove an existence theorem for a nonlinear neutral integrodifferential equation in a Banach space. The main part of the equation is the infinitesimal operator that generates a strongly continuous semigroup of bounded linear operators in a Banach space. The results are obtained by using the Schaefer fixed point theorem.
Dauer, J.P, Balachandran, K
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Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations

Electronic Journal of Differential Equations, 2004
In the present work we consider a nonlinear nonlocal functional differential equations in a real reflexive Banach space. We apply the method of lines to establish the existence and uniqueness of a strong solution.
Shruti Agarwal, Dhirendra Bahuguna
doaj  

Nonlocal impulsive problems for nonlinear differential equations in Banach spaces

Mathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin Liang, James H. Liu, Ti-Jun Xiao
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The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj  

Proximal $\mathfrak{Z}$-Condensing Operators via Simulation Functions and Applications

Computation
In this paper, we introduce and study proximal Z-condensing operators in strictly convex Banach spaces by combining simulation functions with measures of noncompactness.
Moosa Gabeleh, Maggie Aphane
doaj   +1 more source

Functional differential equations with unbounded delay in extrapolation spaces

Electronic Journal of Differential Equations, 2014
We study the existence, regularity and stability of solutions for nonlinear partial neutral functional differential equations with unbounded delay and a Hille-Yosida operator on a Banach space X.
Mostafa Adimy, Mohamed Alia, Khalil Ezzinbi   +2 more
doaj  

Nonlinear differential equations in Banach spaces, and applications. [PDF]

Michigan Mathematical Journal, 1968
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Nonlinear evolution equations and product integration in Banach spaces. [PDF]

Transactions of the American Mathematical Society, 1970
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ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES [PDF]

Proceedings of the National Academy of Sciences, 1963
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