Keywords: 26A33; 34K37; 34K40; 34K45; 35R60; 45J05; 46C15; 60H15; 60H20; Analytic semigroup; Banach fixed point theorem; Caputo derivative; Faedo-Galerkin approximation; Stochastic differential equation;
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Keywords: Hilfer fractional derivative; Stochastic integro-differential equations; Mild solutions; Sadovskii fixed point theorem; 26A33; 60H10; 34K30; 34K40;
Keywords: Neutral delay differential equations; Semidiscrete approximation; 34K06; 34K40; 47D06;
Keywords: 34K40; 34K26; 65L03Neutral delay equations; Weak solutions; Discontinuous differential equations; Path-regularization; Stability
Keywords: 35K57; 35Q99; 34K40; Partial neutral functional differential equation; Partial retarded functional differential equation with infinite number of constant delays; Asymptotic speed of spread; Traveling wavefronts; Finite delay approximation;
Keywords: 34K40; 34K26; 34E05; 65L03; 65L11; Neutral delay equation; Weak solution (Utkin); Regularization; Asymptotic expansion; Implicit Runge-Kutta method;
Keywords: weighted pseudo almost-periodic solution; shunting inhibitory cellular neural networks; mixed delays; global exponential stability34K05; 92B20; 34C27; 34D20; 34K40; 47H10
Existence of solutions for quasilinear random impulsive neutral differential evolution equation
Keywords: Quasilinear differential equation; Analytic semigroup; Random impulsive neutral differential equation; Fixed point theorem; 34A37; 47H10; 47H20; 34K40; 34K45; 35R12;
C1 + α-strict solutions and wellposedness of abstract differential equations with state dependent delay
Keywords: 34K30; 35R10; 34K40; 47D06State dependent delay equations; Strict solutions; Analytic semigroup; Partial differential equations; Bounded delay
A unification theory of Krasnoselskii for differential equations
Keywords: 34A08; 34D20; 34K40; 45J05; 47G05; 47H10; Fixed points; Fractional differential equations; Integral equations; Neutral equations;
On a class of abstract neutral functional differential equations
Keywords: 34K40; 34K30; 35R10; 47D06Neutral equation; Almost sectorial operator; Semigroup of growth αα; Mild solution
A regularization for discontinuous differential equations with application to state-dependent delay differential equations of neutral type
Keywords: 34A36; 34K26; 34K40; Neutral delay differential equations; Breaking points; Existence and uniqueness conditions; Regularization; Singular perturbations; Generalized solutions; Filippov systems;
Existence of solutions for impulsive partial neutral functional differential equation with infinite delay
Keywords: 34K30; 34K40; 47D03Impulsive differential equation; Partial neutral functional differential; Mild solution; Hausdorff measure of noncompactness; Phase space
Existence of solutions for semilinear neutral stochastic functional differential equations with nonlocal conditions
Keywords: 34K40; 34A60; 60H10Existence of solutions; Semilinear stochastic neutral functional evolution equation; Nonlocal Cauchy problem; Semigroup; Sadovskii fixed point theorem
Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
Keywords: 35R10; 34K40; 47G20Partial neutral integro-differential equations; Asymptotically almost automorphic function; Almost automorphic; Asymptotic compact almost automorphic
Oscillation of even order partial differential equations with distributed deviating arguments
Keywords: 35B05; 35R10; 34K40; Oscillation; Even order; Partial differential equations; Boundary value problem; Distributed deviating arguments;
Existence nonexistence and multiplicity of periodic solutions for a kind of functional differential equation with parameter
Keywords: 34C25; 34K40; 47H10Functional differential equation; Periodic solution; Existence; Multiplicity; Fixed point theorem
Periodic solutions for generalized high-order neutral differential equation in the critical case
Keywords: 34K13; 34K40; Periodic solution; High order; Neutral differential equation; Critical case;
Some results on second-order neutral functional differential equations with infinite distributed delay
Keywords: 34K40; 34K13Neutral functional differential equation; Positive periodic solutions; Fixed point; Distributed delay; Second order; Operator
Some aspects of causal & neutral equations used in modelling
Keywords: 93A13; 93A30; 34K05; 34K28; 34K40; 45G15; 47A05; 47N20; 47N60; 62P10; 90C31Computational modelling; Analysis of models; Delay & neutral delay-differential equations; Volterra integral equations; Fundamental solutions; Variation of parameters; Adjoints; Re
Existence results for abstract impulsive second-order neutral functional differential equations
Keywords: 34K40; 34K45; 34K30Neutral equations; Second-order differential equations; Impulsive equations; Cosine functions of operators
A generalization of the Haddock conjecture and its proof
Keywords: 34C12; 34K40; 34K25Asymptotic behavior; Constant; Haddock's conjecture; Neutral delay differential equation
Infinite periodic solutions to a class of second-order Sturm–Liouville neutral differential equations
Keywords: 34K13; 34K40; 65K10Variational structure; Z2Z2-Group index theory; Neutral differential equations; Critical points; Periodic solutions
Pseudo-almost periodic solutions for non-autonomous neutral differential equations with unbounded delay
Keywords: 35R10; 34K40; 34C27Non-autonomous partial functional differential equations; Almost periodic; Pseudo-almost periodic; Pseudo-almost periodic of class p; Pseudo-almost periodic of class infinity; Evolution family
Almost automorphic mild solutions to some partial neutral functional-differential equations and applications
Keywords: 35R10; 34K40; 47D09Partial functional-differential equations; Almost automorphic function; Compactly almost automorphic
Philos-type oscillation criteria for Emden–Fowler neutral delay differential equations
Keywords: 34K40; 34C10; 34C15Oscillation; Neutral delay differential equation; Second order; Emden–Fowler
Two periodic solutions of neutral difference systems depending on two parameters
Keywords: 34K13; 34K40; Fixed point theorem; Positive periodic solution; Multiplicity; Neutral functional difference system;
Dynamics of a hysteretic neuron model
Keywords: 34K20; 34K40; 92B20Hysterisis; Exponential stability; Lyapunov–Kravsovskii functional; Hopfield-type neural network
Oscillation properties for even order neutral equations with distributed deviating arguments
Keywords: 34K11; 34K40; Neutral equation; Oscillatory criteria; Distributed deviating arguments;
Uniform stability of autonomous linear stochastic functional differential equations in infinite dimensions
Keywords: 60H15; 34K40; Linear stochastic functional differential equations; Neutral linear stochastic functional differential equations; Uniform L2-stability in mean square;
Stability analysis of neutral type systems in Hilbert space
Keywords: 34K06; 34K20; 34K40; 93C23; Neutral type systems; Exponential stability; Strong stability; Infinite dimensional systems;