Keywords: Euler-Bernoulli beam equation; Nonsolvable symmetry algebra; First integrals; Exact solution; Schrödinger-type equation; 34A05; 34C14; 34C20; 34G20;
مقالات ISI (ترجمه نشده)
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Keywords: 34G20; 47J35; 65J08; Abstract Cauchy problems for quasilinear operators; Nondense domain; Projection operator;
Keywords: 34G20; 35L71; 35L90; 47D03; 47J35C0C0-groups; Exponential dichotomies; Semilinear evolution equations; Hartman–Grobman theorem; Perturbations; Semilinear wave equations
Keywords: 91A22; 34G20; 37C25; 92D25Evolutionary game theory; Cone of nonnegative measures; Persistence theory; Survival of the fittest; Asymptotically stable strategy; Lyapunov functions
Keywords: 34G20; 13P99; 13N99Differential elimination; Laurent differential polynomial; Sparse resultant; Differential specialization; Sparse differential resultant
Keywords: Non-Lipschitz condition; Successive approximation; Variable delays; 60H15; 34G20; 60J65; 60J75;
Keywords: Differential equation with deviated argument; Banach fixed point theorem; Analytic semigroup34K30; 34G20; 47H06
Keywords: 34G20; 34K37; 34K45; 35R12; 45J05; 60H15; 60H20Resolvent operator; Impulsive differential equation; Fixed point theorem; Neutral integro-differential equation; Stochastic differential equation
Keywords: 34G20; 34A12; 34A36; 34K05; 34K45Existence and uniqueness; Continuous dependence; Osgood theorem; Differential equations in Banach spaces; Functional differential equations; Kurzweil integral
Keywords: 34G20; 34K26Semilinear evolution equation; Elliptic-like regularization; Higher regularity of solutions; Singular perturbation; Asymptotic expansion
Keywords: primary; 34G20; 46N20; 35B10; secondary; 47A10; 47A53; 47D06; 35K58; Nonlinear periodic system; Evolution semigroup; Fredholm operator; Periodic solution; Normal eigenvalue; Decomposition;
Keywords: 49J20; 35Q93; 34G20; 37N35Control problem; Distributed control system; Semilinear degenerate evolution equation; Cauchy problem; Strong solution; Initial–boundary value problem
Keywords: Mild solutions; Impulsive fractional integro-differential equations; Equicontinuous semi-group26A33; 34A37; 34G20; 47H10
On the integrability of Liénard I-type equations via λ-symmetries and solvable structures
Keywords: λ-symmetry; Liénard equation; Nonlinear oscillator; First integral; Solvable structure; 34A05; 34C14; 34C20; 34G20;
Two new reductions methods for polynomial differential equations and applications to nonlinear PDEs
Keywords: 34A05; 34C14; 34C20; 34G20; Polynomial ordinary differential equations; First-order reductions; Exact solutions for partial differential equations in mathematical physics;
Pseudo S-asymptotically periodic solutions of second-order abstract Cauchy problems
Keywords: Asymptotically periodic solutions; Second order abstract Cauchy problem; Differential equations in abstract spaces; Mild solutions; Cosine functions of operators; 34C27; 34G10; 34G20; 47D09;
Reductions of PDEs to second order ODEs and symbolic computation
Keywords: Polynomial ordinary differential equations; Second-order reductions; Exact solutions of partial differential equations34A05; 34C14; 34C20; 34G20
Evolutionary dynamics on measurable strategy spaces: Asymmetric games
Keywords: 91A22; 91A10; 34G20; 34A34; Asymmetric evolutionary games; Evolutionary games; Population games; Replicator dynamics; Space of finite signed measures; Ordinary differential equations in measure spaces;
A determining form for the damped driven nonlinear Schrödinger equation—Fourier modes case
Keywords: 35Q55; 34G20; 37L05; 37L25Nonlinear Schrödinger equation; Determining forms; Determining modes; Determining nodes; Inertial manifolds
Multiple solutions to symmetric boundary value problems for second order ODEs: Equivariant degree approach
Keywords: 37C80; 34B15; 34C14; 34A12; 34G20; 47H11Symmetric systems of ODEs; Multiple solutions; Boundary value problems; Equivariant degree
A non-convex setup for multivalued differential equations driven by oblique subgradients
Keywords: 34A60; 34G20; 47N10Differential inclusions; Oblique reflection; Non-convex domains; Skorohod problem
A Taylor-type numerical method for solving nonlinear ordinary differential equations
Keywords: 41A58; 34G20; 34B15Differential transform method; Taylor series; Numerical techniques; Nonlinear differential equations
On the Ulam–Hyers stability of first order differential systems with nonlocal initial conditions
Keywords: 34G20; 34A40; 45N05; 47H10Ulam–Hyers stability; First order differential system; Nonlocal initial conditions; Convergent to zero matrix; Fixed point theorem; Vector norm
Existence and uniqueness for solutions to fuzzy stochastic differential equations driven by local martingales under the non-Lipschitzian condition
Keywords: 60H10; 34F05; 34G20; 34A12; 26E50Fuzzy stochastic differential equation (FSDE); Fuzzy stochastic Itô integral; Local martingales; Fuzzy random variables; Non-Lipschitzian condition
Measure functional differential equations with infinite delay
Keywords: 34K05; 34G20; 34K45; 34N05Measure functional differential equations; Generalized ordinary differential equations; Differential equations in Banach spaces; Regulated functions; Kurzweil–Stieltjes integral; Phase space
Evolution equations of second order with nonconvex potential and linear damping: existence via convergence of a full discretization
Keywords: 47J35; 65M12; 34G20; 35G25; 35Q74Evolution equation of second order; Elastodynamics; Nonconvex potential; Full discretization; Convergence
Asymptotics for some semilinear hyperbolic equations with non-autonomous damping
Keywords: 34G10; 34G20; 35B40; 35L70Semilinear evolution problem; Dissipative hyperbolic equation; Non-autonomous damping; Asymptotic behavior; Rate of convergence
Duffing equation and action functional
Keywords: 34G20; 49J05; 34B15Second order ODE; Periodic problem; Variational method; Critical point
Mild solutions of functional semilinear evolution Volterra integrodifferential equations on an unbounded interval
Keywords: 34G20; 35R10Semilinear integrodifferential equations; Measure of noncompactness; Mild solutions; Tikhonov fixed point theorem
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 solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators
Keywords: 34A37; 34G20; 34K30; 34A60Impulsive partial functional integrodifferential equations; Fixed point; Analytic semigroup; Nonlocal conditions
Analysis of nonlinear fractional control systems in Banach spaces
Keywords: 34G10; 34G20; 93C25Fractional control systems; Mild solutions; Weakly singular inequality; Optimal controls; Weakly compactness
Center manifolds theorem for parameterized delay differential equations with applications to zero singularities
Keywords: 34K18; 34G20; 92D25Center manifold; Fold bifurcation; Bogdanov–Takens bifurcation
Existence of weighted pseudo-almost periodic solutions to some classes of nonautonomous partial evolution equations
Keywords: 34G20; 34B05; 42A75; 47D06; 35L90Evolution family; Exponential dichotomy; Acquistapace and Terreni conditions; Almost periodic; Weighted pseudo-almost periodic; Evolution equation; Nonautonomous equation
Existence and uniqueness of solutions to nonlinear evolution equations with locally monotone operators
Keywords: 35K55; 34G20; 35Q30Nonlinear evolution equation; Locally monotone; Pseudo-monotone; Navier–Stokes equation; Burgers equation; Porous medium equation; pp-Laplace equation; Reaction–diffusion equation
Dynamics of a class of ODEs more general than almost periodic
Keywords: Primary; 34C25; 34C27; 34C30; Secondary; 34G20; 34E10; Periodic solution; Almost periodic solution; Almost automorphic solution; Sequential set; Stable manifold; Unstable manifold; Pullback attractor;
New exact explicit peakon and smooth periodic wave solutions of the K(3,2)K(3,2) equation
Keywords: 34C37; 34G20; 34K18; 74J3002.30.Ik; 02.30.Jr; 05.45.YvK(3,2)K(3,2) equation; Independent variable transformation; Peakon; Smooth periodic wave; Exact explicit solution
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
Successive approximation of neutral functional stochastic differential equations with jumps
Keywords: 60H15; 34G20; 60J65; 60J75
The existence of mild and classical solutions for a second-order abstract fractional problem
Keywords: 26A33; 34G20; 35L90; 35L10; 35L70Cauchy problem; Cosine family; Fractional derivative; Mild solutions; Second-order abstract problem
Relatively optimal filtering on a Hilbert space for measure driven stochastic systems
Keywords: 34G20; 34K30; 35A05; 35B30; 93C25Linear filtering; Hilbert space; Signed measures; Impulsive systems; Measure driven differential Riccati equation; C0C0-semigroups
Semilinear ordinary differential equation coupled with distributed order fractional differential equation
Keywords: 26A33; 34G20; 47H10Fractional differentiation; Tempered distributions; Schauder fixed point theorem
Existence theorems for solutions to random fuzzy differential equations
Keywords: 34F05; 34G20; 34A12; 26E50Random fuzzy differential equations; Initial value problem for fuzzy mappings; Fuzzy derivative; Fuzzy stochastic process; Fuzzy random variable
SS-asymptotically ωω-periodic and asymptotically ωω-periodic solutions to semi-linear Cauchy problems with non-dense domain
Keywords: 35R15; 34G20; 47D06Abstract Cauchy problem; Asymptotically ωω-periodic function; SS-asymptotically ωω-periodic function; Hille–Yosida operator; Non-dense domain; Nonlocal conditions; Fractional integro-differential equations; Neutral differential equation
Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions
Keywords: 34A37; 34G20; 34K30; 34K99Impulsive neutral equation; Nonlocal condition; Mild solutions; Semigroup
Weighted pseudo almost periodic mild solutions of semilinear evolution equations with nonlocal conditions
Keywords: 34G20; 35B15; 43A60; 47D03Weighted pseudo almost periodic; Evolution family; Semilinear evolution equation; Exponentially stable; Nonlocal conditions
The Duffing equation with the potential Landesman–Lazer condition
Keywords: 34G20; 35A15; 34K10Second-order ODE; Dirichlet boundary conditions; Non-self-adjoint problem; Potential Landesman–Lazer condition; Saddle point theorem; Critical point
Differentiability on semilinear spaces
Keywords: 26E25; 34G20; 46G05; 54C60Semilinear spaces; Differentiation on semilinear spaces; Hukuhara differentiation
Existence of mild solutions for semilinear evolution equations with non-local initial conditions
Keywords: 34G20; 47D06Nonlocal initial condition; Mild solutions; Semilinear evolution equation; Compact semigroup
New peakon, solitary wave and periodic wave solutions for the modified Camassa–Holm equation
Keywords: 34C37; 34G20; 34K18; 74J3002.30.Ik; 02.30.Jr; 05.10.-a; 05.45.YvModified Camassa–Holm equation; Peakon; Solitary wave; Periodic wave; Exact solution