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Impulsive problems for semilinear differential equations with nonlocal conditions
Nonlinear Analysis: Theory, Methods & Applications, 2010This paper deals with the impulsive differential equation with nonlocal conditions \[ \begin{aligned} u'(t) &= Au(t) + f(t, u(t)), 0\leq t\leq b, t\neq t_i,\\ u(0) &= u_0-g(u),\\ \Delta u(t_i) &= I_i(u(t_i)), i = 1, 2, \dots, p, 0 < t_1 < t_2 < \dots < t_p < b, \end{aligned} \] where \(A : D(A) \subseteq X \to X\) is the infinitesimal generator of a ...
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Semilinear Neutral Differential Equations with Impulses and Nonlocal Conditions
Differential Equations and Dynamical SystemszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hugo Leiva +2 more
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Existence of Semilinear Differential Equations with Nonlocal Initial Conditions
Acta Mathematica Sinica, English Series, 2006The author considers the existence of mild solutions for semilinear Cauchy problems \[ u'(t) =Au(t) +f(t,u(t)), \quad t\in [0,b]\text{ a.e., }u(0) =g(u) +u_0, \] where \(A\) is an infinitesimal generator of a strongly continuous semigroup \(T(t)\) of bounded linear operators in a Banach space \(X\), \(f: [0,b] \times X\to X\), \(g\in C([0,b] ;X)\) are ...
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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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General Solution to a Nonlocal Linear Differential Equation of First-Order
Qualitative Theory of Dynamical SystemsWen-Xiu Ma
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Differential equations with nonlocal boundary conditions
Nonlinear Analysis: Theory, Methods & Applications, 2001openaire +1 more source