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Nonlinear differential equations with nonlocal conditions in Banach spaces
Nonlinear Analysis: Theory, Methods & Applications, 2005The author studies the following nonlocal initial value problem \[ u'(t)\in Au(t)+f(t,u(t)) ,\quad t \in (0,b) , u(0)=g(u) , \] where \(A\) is a nonlinear, \(m\)-dissipative multi-valued operator which generates a contraction semigroup \(T(t)\) in a Banach space \(X\), \(f:[0,b] \times D \to X, g: C([0,b],D) \to \overline{D(A)}\) are functions with \(D(
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On the existence of nonlocal integral manifolds of ordinary differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2000The author studies the existence of nonlocal integral manifolds of stationary points for the autonomous ordinary differential equation \[ \dot x=f(x),\quad x\in D \subset {\mathbb{R}}^n, \quad f\in\text{Lip}(D). \tag{1} \] The usual approach to the construction of global integral manifolds is the following: a global integral manifold is constructed as ...
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Controllability of Neutral Differential Equation with Impulses on Time Scales
Differential Equations and Dynamical Systems, 2021Muslim Malik, Vipin Kumar
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Differential equations with nonlocal boundary conditions
Nonlinear Analysis: Theory, Methods & Applications, 2001openaire +2 more sources
Communications in nonlinear science & numerical simulation, 2014
A. Chauhan, J. Dabas
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A. Chauhan, J. Dabas
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