Keywords: 34A36; 49J52; Non-smooth dynamical systems; Bounded solution; SD oscillator; Harmonic solution; Quasi-periodic solution;
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Keywords: piecewise constant argument of generalized type; hybrid equations; equivalence; asymptotic behavior; Gronwall's inequality; 34A36; 34C41; 35M10; 26D10;
Keywords: primary; 34A36; 34C07; 34C25; 34C29; 34M35; 37G15; Polynomial vector field; Periodic orbit; Uniform isochronous center;
Keywords: 34C11; 35L45; 37C10; 34A12; 34A36
Keywords: 34A36; 65P99; 65L60; 46B45; 37M99Rigorous numerics; Piecewise smooth systems; Periodic orbits; Contraction mapping theorem; Chebyshev series; Filippov
Keywords: 34A36; 34C29; 37G15Piecewise differential system; Crossing periodic solutions; Limit cycles; Normal forms; Lyapunov–Schmidt reduction
Keywords: 34A36; 34C05; 37G15; 37G35Nonsmooth vector field; Invariant tori; Limit cycles; Bifurcation
Keywords: 34A36; 37G05Piecewise smooth system; Center; Normal form; Topological equivalence; Topological conjugation; Limit cycle bifurcation
Keywords: 34G20; 34A12; 34A36; 34K05; 34K45Existence and uniqueness; Continuous dependence; Osgood theorem; Differential equations in Banach spaces; Functional differential equations; Kurzweil integral
Keywords: 34A36; 37G10; 37G05; Nonsmooth vector field; Bifurcation; Limit cycles; Centers;
Keywords: 65L06; 34A08; 34A36; 47N70Fractional differential equation; Discontinuous problem; Set-valued regularization; Implicit method; Fractional Adams method
Keywords: 34A36; 34C28; 37D45Nonsmooth vector field; Closing Lemma; Nonwandering points; Recurrent points
Minimum variation solutions for sliding vector fields on the intersection of two surfaces in R3R3
Keywords: 34A36; 65P99Filippov sliding motion; Minimum variation solution
Integration of a Dirac comb and the Bernoulli polynomials
Keywords: 34A36; 37B55; 11B68; 70G60Dirac comb; Piecewise-smooth; Differential equations; Bernoulli polynomials
On nonlinear distributional and impulsive Cauchy problems
Keywords: 26A24; 26A39; 26A48; 34A12; 34A36; 37A37; 39B12; 39B22; 47B38; 47J25; 47H07; 47H10; 58D25Distribution; Primitive; Integral; Regulated; Continuous; Cauchy problem; Impulsive; Solution; Fixed point; Unique; Smallest; Greatest; Minimal; Maximal
On the solvability of distributional and impulsive systems of Cauchy problems
Keywords: 26A24; 26A39; 26A48; 34A12; 34A34; 34A36; 34A37; 34C12; 39B12; 39B22; 47H07; 47H10; 47J25; 58D25Distribution; Primitive; Primitive integral; Cauchy problem; Finite system; Impulsive; Solution; Fixed point; Unique; Smallest; Greatest; Minimal; Maximal
Second order initial value problems with non-absolute integrals in ordered Banach spaces
Keywords: 26A39; 28B15; 34A09; 34A12; 34A36; 34G20; 47B38; 47H07; 47H10HL integrability; Ordered Banach space; Regular order cone; Initial value problem; Implicit; Singular; Functional; Discontinuous; Nonlocal; Solution; Smallest; Greatest
Existence of quasi-periodic solutions and Littlewood's boundedness problem of sub-linear impact oscillators
Keywords: 34A36; 34C11; 37J40; Impact oscillators; KAM; Quasi-periodic solutions; Boundedness of solutions;
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;
On generalized methods of successive approximations
Keywords: 03E20; 03F65; 06A06; 34A36; 34A45; 35A35; 47H10; 54H25Monotone iteration; Supremum; Generalized monotone iteration; Fixed point
Differential equations with non-absolutely integrable functions in ordered Banach spaces
Keywords: 26A39; 28B15; 34A09; 34A36; 34G20; 47B38; 47H07; 47H10HL integrability; Ordered Banach space; Regular order cone; Initial value problem; Implicit; Explicit; Singular; Functional; Discontinuous; Nonlocal; Solution; Smallest; Greatest
Differential equations with state-dependent piecewise constant argument
Keywords: 34A36; 34C25; 34D20Ordinary differential equations; State-dependent piecewise constant argument; Existence and uniqueness of solutions; Periodic solutions; Asymptotic stability
Existence and uniqueness of solutions of piecewise nonlinear systems
Keywords: 34A12; 34A34; 34A36; Piecewise nonlinear system; Uniqueness; Existence; Lexicographic inequalities;
Melnikov’s method for a general nonlinear vibro-impact oscillator
Keywords: 34C37; 34A36; 34A26Vibro-impact oscillator; Non-smooth system; Melnikov’s method; Homoclinic orbit
Stability of differential equations with piecewise constant arguments of generalized type
Keywords: 34A36; 34D20; 34A30Stability; Quasilinear systems; Piecewise constant argument of generalized type
Bifurcation of periodic orbits in a class of planar Filippov systems
Keywords: 34A36; 34C25; 37G15; 37N35Filippov system; Non-smooth system; Periodic orbit; Poincaré map; Bifurcation
First- and second-order discontinuous functional differential equations with impulses at fixed moments
Keywords: 34A36; 34B37; 34K10; 34K45; Discontinuous differential equations; Functional differential equations; Impulses at fixed moments;
Integral manifolds of differential equations with piecewise constant argument of generalized type
Keywords: 34A36; 34K12; 34K13; 34K19Integral manifolds; Piecewise constant argument of generalized type; Differentiability of integral manifolds; Periodic solutions
Jumps of the fundamental solution matrix in discontinuous systems and applications
Keywords: 34C25; 34A36; 34A34Discontinuous system; Transversal intersection; Fundamental solution matrix; Periodic solution
Melnikov method for discontinuous planar systems
Keywords: 34C37; 34A36; 34A26Homoclinic solution; Non-smooth Melnikov function; Discontinuous system
On conditions for regularity of solutions for a piecewise linear system
Keywords: 34A36; 34A12; 34H05; Resonant converters; Piecewise linear system; Limit cycles; Switched systems;
Some examples describing the need of modifying the Bendixson criterion for piecewise C1-systems
Keywords: 34A36; 34A12; 34H05; Distributions; Piecewise linear systems; Polar coordinates;
Global exponential stability of the periodic solution of a delayed neural network with discontinuous activations
Keywords: 34K13; 34K20; 34A36; 84.35.+i; 02.30.Ks; 02.60.Lj; Delayed neural networks; Discontinuous dynamical systems; Global exponential stability; Periodic solution;